Question

Problem How many unique ways are there to arrange the letters in the

word CHRISTMAS?*
362,880
45,255
1
55,698

Answer 1

There are 181,440 ways.

Explanation:

Given the word CHRISTMAS

In the word "Christmas" there are 9 letters.

Also take note, the letter "s" is repeated twice.

Hence, the number of ways is given by; no of ways = n!/m!

Where, n = 9, m = 2

no of ways = 9 *8*7*6*5*4*2*1/2*1

no of ways = 9*8*7*6*5*4*3

no of ways = 181,440.

Therefore, the number of unique ways that the letters in the word can be arranged is 181,440.