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.

Questions related to Permutation and Combinations are asked in various exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, IBPS RRB OFFICER SCALE-I, IBPS PO, etc. Try free mock tests at PendulumEdu and find easy methods to solve such questions.

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