Question

how many different four letter permutations can be formed using four letters out of the first 12 in the alphabet?

Answer 1

Answer:

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

Permutations of four letters from a set of 12 letters. So

$P_{(12,4)} = \frac{12!}{(12-4)!} = 11800$

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet