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Question

Mathematics Question on permutations and combinations

Find out the rank of MONDAY in English dictionary if all alphabets are arranged in order?

Answer

The correct answer is 327.

\therefore Rank = (2×5!+3×4!+2×3!+1×2!)+1(2\times5!+3\times 4!+2\times 3!+1\times2!)+1
= 240+72+12+2+1
= 327