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JAMB - Mathematics (2017 - No. 30)

In how many ways can the word MATHEMATICS be arranged?
\(\frac{11!}{9!2!}\)
\(\frac{11!}{9!2!2!}\)
\(\frac{11!}{2!2!2!}\)
\(\frac{11!}{2!2!}\)

Wyjaśnienie

MATHEMATICS is an eleven-letter word = 11!

There are 2Ms and 2As and 2Ts

Divide the number of repeating letters

= \(\frac{11!}{2!2!2!}\)

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