Question

I have the letters ABCDE. How many combinations of 3 letters can I make out of them?

Answer 1

To find the number of combinations of 3 letters that can be made from the letters ABCDE, we can use the concept of permutations.

Step-by-step explanation:

To find the number of combinations of 3 letters that can be made from the letters ABCDE, we can use the concept of permutations. A permutation is an arrangement of objects where the order matters. In this case, we want to find the number of arrangements of 3 letters out of 5, which can be calculated using the formula P(n, r) = n! / (n - r)!. Substituting the values, we get P(5, 3) = 5! / (5 - 3)! = 5! / 2! = 5 * 4 * 3 = 60.