Question

How many distinguishable a arrangements are there of the letters in "REPRESENTATION"?

Answer 1

Answer: There are 1,816,214,400 ways for arrangements.

Step-by-step explanation:

Since we have given that

"REPRESENTATION"

Here, number of letters = 14

There are 2 R's, 3 E's, 2 T's, 2 N's

So, number of permutations would be

$\dfrac{14!}{2!\times 3!\times 2!\times 2!}\\\\=1,816,214,400$

Hence, there are 1,816,214,400 ways for arrangements.