Question

In how many ways the letter of the word ALLAHABAD all taken together be aaranged​

Answer 1

ALLAHABAD is a 9 letter word, with 4 A's, 2 L's, 1 H, 1 B and 1 D. So the total no. of words is,

$\frac{9!}{4! \times 2!} = \frac{9 \times 8 \times 7 \times 6 \times 5}{2} = \bold{7560}$

Thus we can make 7560 words.

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