4! is 24 and ⁵P₂ is 20, so this Class 11 sheet opens with factorial and permutation values side by side before arranging objects. The key records 10 as a combination, 120 as a larger permutation and 1 as a factorial result.
Key Takeaways
4! = 24 (Q1).
⁵P₂ = 20 (Q2).
Q4 records 120 as a permutation answer.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The value of 4! is
(a) 12(b) 24(c) 4(d) 48
2.The value of ⁵P₂ is
(a) 10(b) 20(c) 40(d) 60
3.The value of ⁵C₂ is
(a) 10(b) 20(c) 5(d) 15
4.The number of ways to arrange 5 distinct books on a shelf is
(a) 5(b) 20(c) 120(d) 25
5.The value of ⁶C₀ is
(a) 0(b) 1(c) 6(d) 720
6.The number of different pairs that can be selected from 6 players is
(a) 15(b) 12(c) 30(d) 6
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Evaluate 5!.
8.Write the formula for nPr.
9.Write the formula for nCr.
10.Evaluate ⁶P₂.
11.Evaluate ⁶C₂.
12.In how many ways can 3 letters be posted in 2 letter boxes?
13.State the relation between nCr and nC(n-r).
14.Evaluate ⁷C₅ using the relation nCr = nC(n-r).
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.How many 3-digit numbers can be formed using the digits 1, 2, 3, 4 and 5 without repetition?
16.In how many ways can 6 people sit in a row of 6 chairs?
17.A committee of 3 is to be chosen from 8 members. Find the number of ways.
18.How many different arrangements of the word BOOK are possible?
19.In how many ways can 4 boys and 3 girls be arranged in a row if all the girls sit together?
20.How many 2-digit numbers can be formed using the digits 1, 2, 3, 4 and 5 if repetition is allowed?
Answer Key
1. b) 24
2. b) 20
3. a) 10
4. c) 120
5. b) 1
6. a) 15
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is 4!?
24, option (b) in this worksheet (Q1).
What is ⁵P₂?
20, option (b) in this worksheet (Q2).
What is 5!?
120, option (c) in this worksheet (Q4).
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