# QOTD-How many 5 letter words can be formed using the letters of the word ‘GLASS’?

2019-07-24 | Team PendulumEdu

Options:

A. 60

B. 120

C. 30

D. 20

Solution:

The word ‘GLASS’ is formed by 5 letters out of which 2 letters are the same.

The number of permutations or arrangements of n things out of which, n1 things are of type 1 and $$n_{2}$$ things are of other types 2,…………., and $$n_{k}$$ things are of type k.

=$$\frac{n!}{n1!n2!... nk!}$$

In the word ‘GLASS’, there are two ‘S’.

Therefore, 5 letter words that can be formed using the letters of the word ‘GLASS’ will be

=$$\frac{5!}{2!}$$

= 60

Hence, (A) is the correct answer.

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