Question

How many 3-letter words can be formed out of the letters of the word ‘corporation', of repetition of letters is not allowed?

Answer 1

Hey there !

The answer to your question is as follows :-

Pat        Tap        Rap        Cap        Rat

Tan        Nap      Pan         Tin         Tic

Tip         Rot       Not         Ton        Cot

Pot        Top       Pit           Pro        Cop

Car        Cat       Oar         Oat        Non

Tar         Ion      

So there are 27  three-lettered words which can be formed from the word 'CORPORATION'.

Hope it helps :-)

Answer 2

Answer:

There are in all 11 letters in the word `CORPORATION`.

Since, Repetition is not allowed, there are 8 different letters that can be used to form 3-letter word.

Therefore, total number of words that can be formed = 8P3 = (8 7 6) = 336.