7 letter word for music

Asked by maham237 @ 05/01/2021 in Mathematics viewed by 322 People

Samantha is arranging the letters in the word "MUSICAL." How
many different 7-letter arrangements can she make if she must
use all seven letters each time?

Answered by maham237 @ 05/01/2021

Answer:

5040

Step-by-step explanation:

This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.

In the problem mentioned given

Word : Musical

number of words = 7 (all the words are different)

Number of ways to arrange it = 7!

= 7*6*5*4*3*2*1= 5040

Hence 5040 is correct answer.

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