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

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:

In this question:

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

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

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32