Question

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How many words can be formed using the letters of the words Assamese ?

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Answer 1

Here's your answer :

Given the word ASSAMESE

Number of letters in ASSAMESE is 8

Again , among these letters there are :

A ----> 2

S -----> 3

E -----> 2

Now ,

total permutation is

= 8!/(2!×3!×2!)

= (8×7×6×5×4×3×2×1)/2×3×2×2×1

= 8×7×6×5

= 8×7×30

= 8×210

=1680

Thus 1680 words can be formed by using the letters of the word ASSAMESE

Answer 2

Answer : 1680

Explanation :

There are 8 letters in the word ASSAMESE

In those letters there are :

A ----> 2

S -----> 3

E -----> 2

Therefore , total number of words formed by the letters of ASSAMESE are :

= 8!/(2!×3!×2!)

= (8×7×6×5×4×3×2×1)/2×3×2×2×1

= 8×7×6×5

=1680