BITSAT Mathematics Permutations and Combinations MCQs with answers available in Pdf for free download. The MCQ Questions for BITSAT Mathematics with answers have been prepared as per the latest BITSAT Mathematics syllabus, books and examination pattern. Multiple Choice Questions form important part of competitive exams and BITSAT exam and if practiced properly can help you to get higher rank. Refer to more topic wise BITSAT Mathematics Questions and also download more latest study material for all subjects and do free BITSAT Mathematics Mock Test

## MCQ for BITSAT Mathematics Permutations and Combinations

BITSAT Mathematics students should refer to the following multiple-choice questions with answers for Permutations and Combinations in BITSAT. These MCQ questions with answers for BITSAT Mathematics will come in exams and help you to score good marks

### Permutations and Combinations MCQ Questions with Answers

#### Question: How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions ?

- a) 16
- b) 36
- c) 60
- d) 180

**Answer: ****60**

#### Question: Statement 1 : A five digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 with repetition. The total number formed are 216. Statement 2 : If sum of digits of any number is divisible by 3 then the number must be divisible by 3.

- a) Statement-1 is true, Statement-2 is true and is a correct explanation for Statement -1
- b) Statement -1 is true, Statement -2 is true and is NOT a correct explanation for Statement - 1
- c) Statement - 1 is true, Statement- 2 is false
- d) Statement -1 is false, Statement -2 is true

**Answer: Statement -1 is false, Statement -2 is true**

#### Question: If

#### then a – n is equal to

- a) 0
- b) 1
- c) 2
- d) None of these

**Answer: ****0**

#### Question: The number of values of r satisfying the equation is

- a) 1
- b) 2
- c) 3
- d) 4

**Answer: ****2**

#### Question: All the words that can be formed using alphabets A, H, L, U and R are written as in a dictionary (no alphabet is repeated). Rank of the word RAHUL is

- a) 71
- b) 72
- c) 73
- d) 74

**Answer: ****74**

#### Question: The total number of 4-digit numbers in which the digits are in descending order, is

- a)
^{10}C_{4}× 4! - b)
^{10}C_{4} - c)
- d) None of these

**Answer: **^{10}C_{4}

#### Question: The number of all three elements subsets of the set {a_{1}, a_{2}, a_{3} . . . a_{n}} which contain a_{3} is

- a)
^{n}C_{3} - b)
^{n – 1}C_{3} - c)
^{n – 1}C_{2} - d) None of these

**Answer: **^{n – 1}C_{2}

#### Question: In how many ways can a committee of 5 made out 6 men and 4 women containing atleast one woman?

- a) 246
- b) 222
- c) 186
- d) None of these

**Answer: ****246**

#### Question: In how many ways can 5 boys and 5 girls be seated at a round table so that no two girls may be together ?

- a) 4!
- b) 5!
- c) 4! + 5!
- d) 4! × 5!

**Answer: ****4! × 5!**

#### Question: A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw?

- a) 64
- b) 129
- c) 84
- d) None of these

**Answer: ****64**

#### Question: In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes ?

- a) 1024
- b) 625
- c) 120
- d) 600

**Answer: ****1024**

#### Question: The number of positive integral solution of abc= 30 is

- a) 30
- b) 27
- c) 8
- d) None of these

**Answer: ****27**

#### Question: If ^{20}C_{r} = ^{20}C_{r–10} then ^{18}C_{r} is equal to

- a) 4896
- b) 816
- c) 1632
- d) None of these

**Answer: ****816**

#### Question: In a polygon no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon be 70 then the number of diagonals of the polygon is

- a) 20
- b) 28
- c) 8
- d) None of these

**Answer: ****20**

#### Question: With 17 consonants and 5 vowels the number of words of four letters that can be formed having two different vowels in the middle and one consonant, repeated or different at each end is

- a) 5780
- b) 2890
- c) 5440
- d) 2720

**Answer: ****5780**

#### Question: The letters of the word TOUGH are written in all possible orders and these words are written out as in a dictionary, then the rank of the word TOUGH is

- a) 120
- b) 88
- c) 89
- d) 90

**Answer: ****89**

#### Question: If ^{2n +1}P_{n–1} : ^{2n – 1}P_{n} = 3 : 5 then the value of n is equal to

- a) 4
- b) 3
- c) 2
- d) 1

**Answer: ****4**

#### Question: 3 integers are chosen at random from the set of first 20 natural numbers. The chance that their product is a multiple of 3, is –

- a) 194/285
- b) 1/57
- c) 13/19
- d) 3/4

**Answer: ****194/285**

#### Question: If the total number of m elements subsets of the set A = {a_{1}, a_{2}, a_{3}, ...., a_{n}} is l times the number of 3 elements subsets containing a_{4}, then n is

- a) (m – 1) λ
- b) mλ
- c) (m + 1) λ
- d) 0

**Answer: ****mλ**

#### Question: The number of arrangements of the letters of the word BANANA is which the two ‘N’s do not appear adjacently is

- a) 40
- b) 60
- c) 80
- d) 100

**Answer: ****40**