In how many ways the letter of the word ‘PERFECT’ be arranged?

M4maths Previous Puzzles

01 Mar 2021 arrangement of words

In how many ways the letter of the word ‘PERFECT’ be arranged?

OPtion

1) 3020
2) 2850
3) 2460
4) 2630
5) 2580
6) 2420
7) 2520
8) 2690
9) 3050
10) None of the above

Solution

Since the word PERFECT contains 7 characters, it letter can be arranged in 7! Ways.
It contains two number of E, therefor you have to divide above value by 2!.
Hence required number of arrangements = 7! / 2!
= 2520

Correct Option: 7 Best Solution (3)