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Exponent of a prime in n! - class-XI
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The number of words that can be formed by using the letter of the word "MATHEMATICS", taken all at a time is
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A
$\dfrac{11!}{(2!)^{3}}$
💡 Explanation:
The word MATHEMATICS has 11 letters, with M appearing twice, A twice, and T twice. The number of distinct permutations is 11! divided by the factorial of the counts of repeated letters, which is 11! / (2! * 2! * 2!).