**MCQs Questions for Class 11 Maths Chapter 7 Permutations and Combinations**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 11
Maths Chapter 7 Permutations and Combinations**

**1.** A boy has 2 pencil and 3
erasers. In how many ways can he choose a pencil and an eraser?

(a) 5

(b) 6

(c) 8

(d) 9

**Answer: b**

**2. **The number of combination of
n distinct objects, taken r at a time, is given by

(a) ^{n/2}C_{r}

(b) ^{n/2}C_{r/2}

(c) ^{n}C_{r/2}

(d) ^{n}C_{r}

**Answer: d**

**3. **If there are 4 paths to travel from Delhi to Lucknow, then in
how many ways a person can travel from Delhi to Lucknow and came back to Delhi?

(a) 4

(b) 8

(c) 12

(d) 16

**Answer: d**

**4. **Four dice are rolled. The number of possible outcomes in
which at least one dice show 2 is

(a) 1296

(b) 671

(c) 625

(d) 585

**Answer: b**

**5. **Find the number of 5 letter words which can be formed from
the word PULSE without repetition.

(a) 20

(b) 60

(c) 120

(d) 240

**Answer: c**

**6. **If repetition of the digits is allowed, then the number of
even natural numbers having three digits is

(a) 250

(b) 350

(c) 450

(d) 550

**Answer: c**

**7. **How many 5-digit numbers are possible without repetition of
digits?

(a) 27216

(b) 50400

(c) 100000

(d) 90000

**Answer: a**

**8. **The number of ways in which 8 distinct toys can be
distributed among 5 children is

(a) 5^{8}

(b) 8^{5}

(c) ^{8}P_{5}

(d) ^{5}P_{5}

**Answer: a**

**9. **A passcode is made of 5 digits. How many maximum numbers of
ways incorrect passcode is entered?

(a) 27215

(b) 50399

(c) 99999

(d) 89999

**Answer: c**

**10. **The value of P(n, n – 1) is

(a) n

(b) 2n

(c) n!

(d) 2n!

**Answer: c**

**11. ** ^{n}P_{r} = ^{n}C_{r} × ______________

(a) r!

(b) 1/r!

(c) n!

(d) 1/n!

**Answer: a**

**12. **Out of 5 apples, 10 mangoes and 13 oranges, any 15 fruits are
to be distributed among 2 persons. Then the total number of ways of
distribution is

(a) 1800

(b) 1080

(c) 1008

(d) 8001

**Answer: c**

**13. **If ^{n}C_{2} = ^{n}C_{3}, then the value of n is

(a) 2

(b) 3

(c) 5

(d) 6

**Answer: c**

**14. **The number of ways in which the letters of the word
ASSASSINATION be arranged so that all the S are together is

(a) 152100

(b) 1512

(c) 15120

(d) 151200

**Answer: d**

**15. ** If ^{14}C_{r} = 14 and ^{15}C_{r} = 15, then find the value of ^{14}C_{r-1}.

(a) 1

(b) 14

(c) 15

(d) 3

**Answer: a**

**16. **If ^{2n}C_{3 }: ^{n}C_{3} = 9 : 1, then fine the value of n.

(a) 7

(b) 14

(c) 28

(d) 32

**Answer: b**