JAMB - Mathematics (2017 - No. 30)
In how many ways can the word MATHEMATICS be arranged?
\(\frac{11!}{9!2!}\)
\(\frac{11!}{9!2!2!}\)
\(\frac{11!}{2!2!2!}\)
\(\frac{11!}{2!2!}\)
Explanation
MATHEMATICS is an eleven-letter word = 11!
There are 2Ms and 2As and 2Ts
Divide the number of repeating letters
= \(\frac{11!}{2!2!2!}\)
There are 2Ms and 2As and 2Ts
Divide the number of repeating letters
= \(\frac{11!}{2!2!2!}\)