Question

Find the answer for each of the following, show your work i. how many ways are there to permute the letters in the word HAHAHAAA?

ii. how many ways are there to permute the letters in the word STATISTICS?

Answer 1

1) 2016

2) 50400

Explanation:

First, find the numbers we need

H = 3

A = 5

total = 8

put them in the right order and calculate

8!/5!(3!) = 2016

do the same for question 2

S = 3

T = 3

A = 1

I = 2

C = 1

total = 10

10!/(3!)(3!)(2!) = 50400