Q88 / 160 · TS EAMCET 2017 · Mathematics

Using the letters of the word TRICK, a five letter word with distinct letters is formed such that $C$ is in the middle. In how many ways this is possible?

A
6
B
120
Correct answer
C
24
D
72

Solution

If we fix $C$ in the middle, then the rest 4 letters can be arranged in ${ }^4 P_4=4$ ! ways $=24$ ways.

Hence, the correct answer is option: 'C'.

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