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A five letter...

Question

A five letter word is to be formed such that the letters appearing in the odd positions are taken from the unrepeated Letters of the word MATHEMATICS whereas the letters which occupy even places are taken from amongst the repeated letters. Then number of such words is

A

540

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B

450

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C

550

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D

440

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Solution

The correct option is A
540

$5_{p_{s}} \times 9 = 540$

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