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Question

Mathematics Question on permutations and combinations

The number of words that can be formed by using all the letters of the word PROBLEMPROBLEM only one is

A

5!

B

6!

C

7!

D

8!

Answer

7!

Explanation

Solution

The word 'PROBLEMPROBLEM' has 77 letters viz. P,R,O,B,L,E,MP, R, O, B, L, E, M
\therefore Total number of words that can be formed by using all the letters only one = Number of arranging the seven letters =7!=7 !