In how many different ways can the letters of | vedclass

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

Question

(A) The word '$OFFICES$' contains $7$ letters in total.In this word,the letter '$F$' is repeated $2$ times,while all other letters $(O, I, C, E, S)$ a

Vedclass · Accepted Answer

$2520$

Vedclass · Answer

(A) The word '$OFFICES$' contains $7$ letters in total.In this word,the letter '$F$' is repeated $2$ times,while all other letters $(O, I, C, E, S)$ appear once.The number of ways to arrange $n$ objects where $p$ objects are of one kind and $q$ objects are of another kind is given by the formula $\frac{n!}{p!q!...}$.Here,$n = 7$ and $p = 2$ (for the letter '$F$').Therefore,the required number of arrangements $= \frac{7!}{2!} = \frac{5040}{2} = 2520$.

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

Similar Questions

How many numbers greater than $24000$ can be formed by using the digits $1, 2, 3, 4, 5$ when no digit is repeated?

If $C(n, 8) = C(n, 6)$,find $C(n, 2)$.

In how many ways can a girl and a boy be selected from a group of $15$ boys and $8$ girls?

How many words can be made from the letters of the word $DELHI$,if $L$ comes in the middle in every word?

How many different ways can the letters in the word $ATTEND$ be arranged?

Vedclass Test Series

Exam Paper Generator

Online Exam Module