Question

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⭐Permutation⭐

In how many ways the letters of the word WRITTING can be arranged ?

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Answer 1

Here's the Answer :

The number of letters in the word WRITTING = 8

Among these Letters ,

T --> 2

I --> 2

So , total permutation

= 8!/2!×2!

= 8×7×6×5×4×3×2×1/2×1×2×1

= 8×7×6×5×3×2

= 8×7×6×5×6

=8×7×6×30

=8×7×180

=8×1260

=10080

Therefore in 10080 ways the letters of the word WRITTING can be arranged.

Happy Learning

Answer 2

Answer:

10080

Step-by-step explanation:

The word 'WRITTING' has 8 letters.

But in these 8 letters, 'I' occurs 2 times, 'T' occurs 2 times and rest of the letters are different.

Hence, the number of ways to arrange these letters:

= (8!)/(2!2!)

= 40320/4

= 10080.

Hope it helps!