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Find the number of 5 letter words that can be formed from word IMAGE using permutations if repetition is allowed.(a) 25(b) 120(c) 125(d) 3125This question was posed to me in quiz.The origin of the question is Permutations-1 topic in portion Permutations and Combinations of Mathematics – Class 11

Answer»

Right option is (d) 3125

The best I can EXPLAIN: IMAGE is a 5 letters WORD. We have to arrange all 5 letters of the word IMAGE with REPETITION allowed. So, total permutations are n^r = 5^5 = 3125.



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