JAMB - Mathematics (2017 - No. 25)
Find the number of ways that the letters of the word EXCELLENCE be arranged
\(\frac{10!}{2!2!2!}\)
\(\frac{10!}{4!2!}\)
\(\frac{10!}{4!2!2!}\)
\(\frac{10!}{2!2!}\)
Explicació
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