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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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?

Similar Questions

How many words can be formed with the letters of the word $MATHEMATICS$ by rearranging them?

Find the number of arrangements of the letters of the word $INDEPENDENCE$. In how many of these arrangements do the words begin with $I$ and end in $P$?

It is required to seat $5$ men and $4$ women in a row so that the women occupy the even places. How many such arrangements are possible?

$(n - r + 1) \times ^nP_{r - 1} = \dots$

The number of $4$ digit even numbers that can be formed using $0, 1, 2, 3, 4, 5, 6$ without repetition is

Vedclass Test Series

Exam Paper Generator

Online Exam Module