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bagirrra123 [75]
3 years ago
12

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

Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

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 <em>permutation formula</em> 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

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