## Permutation & Combination Solved Questions For IBPS, SBI and Other Bank Exams - Page 3

You will find 19 problems in 5 pages..

Permutation & Combination Solved Questions (Page 3 of 5)

Question 1

In how many ways, can the letters of the word "TELEVISION" be arranged?

a) 907200 b) 1814400 c) 40320 d) none of these

Answer : a) 907200

Solution :

The word television contains 10 letters, namely one T, two E, one L, one V, Two I, one S, one O and one N.
Therefore, required number of ways = 10!/1!2!1!1!2!1!1!1!
= 10!/2!2! = 1 x 2 x 3 x .... x 10 / 4 = 907200

Question 2

How many 3 letters words (with or without meaning) can be formed out of the letters of the word, "SWITCHBOARD", if repetition of letters is not allowed?

a) 1000 b) 9900 c) 990 d) none of these

Answer : c) 990

Solution :

The word Switchboard contains 11 different letters.
Required number of words = number of arrangements of 11 letters taking 3 at a time.
= 11p3 = 11 x 10 x 9 = 110 x 9 = 990.

Question 3

In how many ways can the letters of the word "LIGHT" be arranged(using each letter exactly once) ?

a) 60 b) 120 c) 240 d) none of these

Answer : b) 120

Solution :

The word light contains 5 different letters.
Required number of words = number of arrangements of 5 letters taken all at a time = 5p5 = 5! = 120

Question 4

In how many ways can the letters of the word " SOLUTION" be arranged so that the vowels always come together?

a) 120 b) 240 c) 24 d) none of these

Answer : a) 120

Solution :

In the word SOLUTION, we treat the vowels O U I O as one letter.
Thus, we have SLTN(OUIO).
Now, we have 5 different letters.
Then, required number of words = 5! = 120

Permutation & Combination Solved Questions (Page 3 of 5)

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