How many ways can the letters in CRITICS be arranged?

Answer 1

The word "CRITICS" consists of 7 letters, where the letter 'C' appears twice. To find the number of distinct arrangements, we use the formula for permutations of multiset:

[ \frac{n!}{n_1! \times n_2! \times \ldots} ]

Here, ( n = 7 ) (total letters), and ( n_1 = 2 ) (for the two C's). Thus, the number of arrangements is:

[ \frac{7!}{2!} = \frac{5040}{2} = 2520. ]

So, there are 2,520 distinct ways to arrange the letters in "CRITICS."