passpadi

2017

Mathematics

JAMB

Find the number of ways that the letters of the word EXCELLENCE be arranged

A.

(10!2!2!)/2!

B.

(10!4!)/2!

C.

10!/4!2!2!

D.

10!/2!2!

Correct Answer: 10!/4!2!2!

Explanation

EXCELLENCE It is a ten letter word = 10! Since we have repeating letters, we have to divide to remove the duplicates accordingly. There are 4 Es, 2 Cs, 2 Ls ∴ there are 10!/4!2!2! ways to arrange

EXCELLENCE It is a ten letter word = 10! Since we have repeating letters, we have to divide to remove the duplicates accordingly. There are 4 Es, 2 Cs, 2 Ls ∴ there are 10!/4!2!2! ways to arrange
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