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Find the number of 4 letter words which can be formed from word IMAGE if repetition is allowed.

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in Mathematics - Class 11 by (789k points)
Find the number of 4 letter words which can be formed from word IMAGE if repetition is allowed.

(a) 120

(b) 125

(c) 625

(d) 3125

I got this question by my school teacher while I was bunking the class.

My question is based upon Permutations-2 topic in portion Permutations and Combinations of Mathematics – Class 11

1 Answer

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Best answer
The correct answer is (c) 625

The best explanation: We have to arrange 4 letters of the 5 letters word IMAGE without repetition. So, total permutations are n^r = 5^4 = 625.

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