Question

how many ways are there to pick a sequence of two different letters of the alphabet that appear in the word Crab

Answer 1

Using permutations, it is found that there are 12 ways to pick a sequence of two different letters of the alphabet that appear in the word Crab .

The order in which the letters appears is important, as for example, ab is a difference sequence than ba, hence the permutation formula is used.

Permutation formula:

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

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

In this problem, 2 letters are picked from a set of 4, hence:

$P_{(4,2)} = \frac{4!}{2!} = 12$

There are 12 ways to pick a sequence of two different letters of the alphabet that appear in the word Crab .

For more on permutations, you can check brainly.com/question/24905801