Question

How many different arrangements can be made using all of the letters in the word REARRANGE?

Answer 1

R = 3 9! 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
A = 2 = ------------------------ -----> = -----------------------------------------
E = 2 3! * 2! * 2! * 1! * 1! 3 * 2 * 1 * 2 * 1 *2 * 1 * 1 * 1
N = 1
G = 1
-------- 9* 8 * 7 * 6 * 5 * 4 60480
9 --------> = ------------------------ = ------------- = 15120 ways
2 * 1 * 2 * 1 * 1 *1 4