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 '$EXCELLENT$' consists of $9$ letters in total.The frequency of each letter is as follows: $E$ appears $3$ times,$X$ appears $1$ time,$C$

Vedclass · Accepted Answer

$30240$

Vedclass · Answer

(D) The word '$EXCELLENT$' consists of $9$ letters in total.The frequency of each letter is as follows: $E$ appears $3$ times,$X$ appears $1$ time,$C$ appears $1$ time,$L$ appears $2$ times,$N$ appears $1$ time,and $T$ appears $1$ time.The total number of arrangements is given by the formula $\frac{n!}{p!q!...}$,where $n$ is the total number of letters and $p, q, ...$ are the frequencies of repeating letters.Here,$n = 9$,$p = 3$ (for $E$),and $q = 2$ (for $L$).$	ext{Required arrangements} = \frac{9!}{3! 	imes 2!} = \frac{362880}{6 	imes 2} = \frac{362880}{12} = 30240$.

In how many ways can the letters of the word '$EXCELLENT$' be arranged?

Similar Questions

The Chief Ministers of $11$ States of India meet to discuss the language problem. In how many ways can they seat themselves at a round table so that the Punjab and Madras Chief Ministers sit together?

Given $6$ different letters of an alphabet. Words with $4$ letters are formed from these given letters. The number of words which have at least one letter repeated and no two same letters are together,is:

On the sides $AB, BC, CA$ of a $\Delta ABC$,$3, 4, 5$ distinct points (excluding vertices $A, B, C$) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices are:

There are $3$ different rings to be worn in four fingers with at most $1$ in each finger. In how many ways can this be done?

How many integers between $1000$ and $10000$ have no digits other than $4, 5,$ or $6$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module