1000+ Permutation and Combination Questions for Bank Exams - 1

Question: 1

How many words (with or without meaning) of 3 distinct English alphabets are there?

(A) 12800

(B) 13700

(C) 14650

(D) 15600

Ans: D

There are 26 distinct English alphabets.

First alphabet can be chosen in 26 ways.

Second alphabet can be chosen in 25 ways.

Third alphabet can be chosen in 24 ways.

Number of 3 letter words = 26 × 25 × 24 = 15600.

Question: 2

How many numbers lying between 1000 and 10000 can be formed by using the digits 1, 3, 5, 6, 7, 8, 9, no digits being repeated?

(A) 640

(B) 840

(C) 880

(D) 940

Ans: B

A number lying between 1000 and 10000 has four places which can be filled up out of 7 digits in 7P4 = 7 x 6 x 5 x 4 = 840 ways.

Question: 3

In how many different ways can the letters of the word ‘BLOATING’ be arranged?

(A) 5040

(B) 2520

(C) 20160

(D) 40320

Ans: D

Required number of ways = 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320.

Question: 4

In how many different ways can the letters of the word ‘BANKING’ be arranged?

(A) 2520

(B) 2540

(C) 5040

(D) 5080

Ans: A

Required number of ways = $${7!}/{2!}$$ = 2520.

Question: 5

In how many different ways can 6 children be seated on 6 seats?

(A) 240

(B) 480

(C) 720

(D) 740

Ans: C

Required number of ways = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720.

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