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Permutations and Combinations Questions & Answers

Practice essential Permutations and Combinations questions prepared by industry experts. Permutations and Combinations questions and answers have a high weightage in the examination and must be mastered.

Q31

Q31 Using the digits 1, 2, 3, 4, 5, 6, 7, a number of 5 different digits is formed. Find how many of these are exactly divisible by 4?

A

3120

B

1560

C

600

D

390

Q32

Q32 In how many ways can 4 letters be posted in 6 letter boxes?

A

256

B

64

C

216

D

1296

Q33

Q33 How many times will the digit 3 appear when we write numbers from 1 to 1000 ?

A

200

B

300

C

299

D

301

Q34

Q34 Christine, on her morning run, wants to get from point A to point B.

(a)How many routes with no backtracking can she take?

(b) How many of those routes go through point D?

Permutation and Combination Question

A

(5 + 7)!/ 5! · 7!,[(3 + 4)! / (3! · 4!)] · [(2 + 3)! (2! · 3!)]

B

(5 - 7)!/ 5! ·+7!,[(3 + 4)! / (3! · 4!)]·[(2 + 3)! (2! · 3!)]

C

(5 + 7)!/ 5! · 7!,[(3 + 4)! / (3! +4!)]·[(2 - 3)! (2! · 3!)]

D

(5 + 7)!/ 5! · 7!,[(3 + 4)! / (3! +4!)]·[(2 + 3)! (2! +3!)]

Q35

Q35 In how many ways 20 apples can be distributed among 3 people ?

A

190

B

210

C

231

D

253

Q36

Q36 There are 10 points in a plane, 4 of which are collinear. Find the number of triangles which can be formed?

A

100

B

120

C

116

D

96

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