C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
🔀 SSC CGL Tier-II, Banking
Permutation and Combination — formula, example and practice
Order matters for nPr, not for nCr. Read “together / not together” twice.
Content type: original worked example. Not labelled as a previous-year question.
Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions
Formula
nPr = n! / (n−r)! · nCr = n! / (r!(n−r)!)
Permutations count arrangements (order matters). Combinations count selections.
What you should learn here
Together/not-together: treat a block as one unit, then subtract from the unrestricted count if needed.
Worked example
Question. Ways to choose 2 students from 5.
Solution. 5C2 = 10. If they sit in a line, 5P2 = 20.
Common mistake. Using nPr when the question says “committee / team / group” (usually nCr).
When to use the shortcut. Words “arrange, rank, password” → permutation. “Select, choose, team” → combination.
Related chapters and tests
Probability Data Interpretation Percentage Ratio and Proportion All formulas SSC GD mocks SSC CGL mocks
150 important Permutation and Combination questions
Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.
Score: 0 / 0
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
C(7,2) equals
Answer / solution
Correct option: B
nCr = 21.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
C(5,2) equals
Answer / solution
Correct option: C
nCr = 10.
P(6,3) equals
Answer / solution
Correct option: A
nPr = 120.
FAQs
Are these previous-year SSC questions?
No year or shift is claimed on these pages. Each maths section has 150 original practice MCQs. When a verified source database exists, a question will show exam + year; until then it is practice.
Where are Class 10 board formulas?
The CBSE formula sheet at /cbse/class-10/mathematics/formulas/ stays the canonical board list. This maths hub links to it instead of copying every line.
Do you publish tricks that are only sometimes true?
Every shortcut page states when the trick must not be used. A speed trick that fails on close options is not published as if it were a theorem.
