How many words,with or without meaning,can be | vedclass

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(B) The word $MONDAY$ contains $6$ distinct letters: $M, O, N, D, A, Y$. There are $2$ vowels in the word: $O$ and $A$. We need to form a $6$-letter w

Vedclass · Accepted Answer

$240$

Vedclass · Answer

(B) The word $MONDAY$ contains $6$ distinct letters: $M, O, N, D, A, Y$. There are $2$ vowels in the word: $O$ and $A$. We need to form a $6$-letter word where the first letter is a vowel. The first position can be filled by either $O$ or $A$,which can be done in $2$ ways. Since no letter is repeated,the remaining $5$ positions can be filled by the remaining $5$ letters in $5!$ ways. $5! = 5 	imes 4 	imes 3 	imes 2 	imes 1 = 120$. Therefore,the total number of words that can be formed is $2 	imes 120 = 240$.

How many words,with or without meaning,can be formed using the letters of the word $MONDAY$,assuming that no letter is repeated,if all letters are used but the first letter is a vowel?

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