n how many ways can the letters of the word "SUCCESS" be arranged?

The word "SUCCESS" has 7 letters in total. However, it contains repeated letters: 3 S's, 2 C's, and 2 U's.

The formula for permutations of a multiset (a set that allows multiple instances of its elements) is:

n! / (r1! * r2! * ... * rk!)

where:

• n is the total number of elements,
• r1, r2, ..., rk are the numbers of each type of repeated element.

In this case, n = 7 (the total number of letters), r1 = 3 (the number of S's), r2 = 2 (the number of C's), and r3 = 2 (the number of U's).

So, the number of ways the letters of the word "SUCCESS" can be arranged is:

7! / (3! * 2! * 2!) = 5,040 / (6 * 2 * 2) = 5,040 / 24 = 210.

So, there are 210 different ways to arrange the letters of the word "SUCCESS".