Question on: JAMB Mathematics - 2017
Find the number of ways that the letters of the word EXCELLENCE be arranged
A
\(\frac{10!}{2!2!2!}\)
B
\(\frac{10!}{4!2!}\)
C
\(\frac{10!}{4!2!2!}\)
D
\(\frac{10!}{2!2!}\)
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Correct Option: B
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
\(\frac{10!}{4!2!2!}\) ways to arrange
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
\(\frac{10!}{4!2!2!}\) ways to arrange
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