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

Mathematics

1 answer:

Verizon [17]2 years ago

3 0

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

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