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  • If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial number, then the serial number of the word THAMS is<div class='qna-opt

If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial number, then the serial number of the word THAMS is

Option: 1

102


Option: 2

103


Option: 3

101


Option: 4

104


Answers (1)

best_answer

\begin{array}{ccccc}5 & 2 & 1 & 3 & 4 \\ \mathrm{~T} & \mathrm{H} & \mathrm{A} & \mathrm{M} & \mathrm{S} \\ 4 & 1 & 0 & 0 & 0 \\ 4 ! & 3 ! & 2 ! & 1 ! & 0 !\end{array}

\Rightarrow 4 \times 4 !+3 ! \times 1+0+0+0

\Rightarrow 96+6=102

\text{Ran}\: \mathrm{k} \: THAMS =102+1=103

Posted by

Kuldeep Maurya

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