Question

5) How many 3 letter words can be formed using the letters of the
word 'COMPUTER' ?
a)21
b)56
c)336
d)356​

Answer 1

COMPUTER is a 8 letter word.

So, out of 8 letters select any 3 letters and form a word with them.

There is no condition that the formed word should be meaningful. So meaningless words are also counted.

No. of ways to select 3 letters out of 8 = ⁸C3 = 56 ways.

Again the selected 3 letters can make 3! words.

3! =6

So, no of 3 letter words formed = 56 × 6 = 336 words

Option (c) is correct.

Hope this helps you