Question

How many words can be formed by using all the letters of the word MATHS?​

Answer 1

Answer:

As ‘mathematics’ contains 11 letters so we can arrange them in 11! Ways but ..m, a,t are repeated or say are 2 times so we have to subtract repeated words to get proper count of words . So we divide by 2! 3 times to get the actual number of words . Why ?We divide .For every word if we interchange both m's position we get exact word again .so for every word we have a copy . Wo we have to divide whole number of words into half to get rid of copies . Similarly we have to again divide into half for two t's and a's.

Ao total no. of words = 11!/ (2!*2!*2!)

Step-by-step explanation:

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