In how many ways can the letters of the word | vedclass

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

Question

(D) The word '$NUTAN$' has $5$ letters: $N, U, T, A, N$.Consonants are $N, T, N$ ($3$ letters) and vowels are $U, A$ ($2$ letters).There are $5$ posit

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(D) The word '$NUTAN$' has $5$ letters: $N, U, T, A, N$.Consonants are $N, T, N$ ($3$ letters) and vowels are $U, A$ ($2$ letters).There are $5$ positions in total: $1, 2, 3, 4, 5$.Odd positions are $1, 3, 5$ ($3$ places) and even positions are $2, 4$ ($2$ places).Consonants $(N, T, N)$ must occupy the $3$ odd places. The number of ways to arrange them is $\frac{3!}{2!} = 3$ (since $N$ repeats twice).Vowels $(U, A)$ must occupy the $2$ even places. The number of ways to arrange them is $2! = 2$.Total number of arrangements $= 3 	imes 2 = 6$.

In how many ways can the letters of the word '$NUTAN$' be arranged when consonants occupy odd places and vowels come on even places?

Similar Questions

In how many ways,a committee of $3$ members can be selected from $5$ men and $4$ women,consisting of $2$ men and $1$ woman?

The number of words which can be formed from the letters of the word $MAXIMUM$,if two consonants cannot occur together,is

The sum of the digits in the unit place of all numbers formed with the help of $3, 4, 5, 6$ taken all at a time is

$8$-digit numbers are formed using the digits $1, 1, 2, 2, 2, 3, 4, 4$. The number of such numbers in which the odd digits do not occupy odd places is:

How many words of $4$ letters beginning with '$A$' or '$E$' can be formed with the letters of the word '$EQUATOR$'?

Vedclass Test Series

Exam Paper Generator

Online Exam Module