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(i) Find the number of four letter word that can be formed from the letters of the word HISTORY. ( each letter to be used at most once) (ii) How many contain both vowels?

(i) Find the number of four letter word that can be formed from the letters of the word HISTORY. ( each letter to be used at most once)
(ii) How many contain both vowels?

Grade:12

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
6 years ago
total no of words of 4 letters=7C44! (select 4 letters out of 7 and then arrange them )
words with both vowels=5C24! (2 vowels + now select 2 from remaining 5 consonants arrangement of 4 letters in a row is 4!)

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