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Question

Question: total number of words formed by the letters of the word MADHAV without repitition are?...

total number of words formed by the letters of the word MADHAV without repitition are?

Answer

360

Explanation

Solution

The word MADHAV has 6 letters with the letter A repeated 2 times. The number of distinct words formed by arranging all the letters is calculated using the formula for permutations with repetition: n!n1!n2!...\frac{n!}{n_1! n_2! ...}. Here, n=6 (total letters) and the frequencies are 2 for A and 1 for M, D, H, V. So, the number of words is 6!2!=7202=360\frac{6!}{2!} = \frac{720}{2} = 360.