First slide

Permutations

Question

The number of words that can be formed by using the letters of the word MATHEMATICS that start as well as end with T is

Moderate

A

80720
B

90720
C

20860
D

37528

Solution

The word MATHEMATICS contains 11 letters viz. M, M, A, A T, T, H, E, I, C, S.
The number of words that begin with T and end with T is
$\frac{9!}{2! 2!} = 90720$

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