SOLUTION: Find the probability that the combination of 4 letters will be in the order EAFC. The same letter can be used more than once. a. 1/ 456,976 b. 1/ 358,800 c. 1/ 2,500

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Question 1088889: Find the probability that the combination of 4 letters will be in the order EAFC. The same letter can be used more than once.

a. 1/ 456,976

b. 1/ 358,800

c. 1/ 2,500

d. 1/ 104

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

There are 26 ways the first letter can be.

For each of those 26 ways, there are 26 ways the second letter can be.
That's 26×26 ways the first and second letters can be.

For each of those 26×26 ways, there are 26 ways the third letter can be.
That's 26×26×26 ways the first, second and third letters can be.

For each of those 26×26×26 ways, there are 26 ways the last letter can be.
That's 26×26×26×26 ways the first, second, third and last letters can be.

So we multiply 26×26×26×26 and get 456,976.

So there's just 1 way to get EAFC out of all those 456,976.

So the probability is 1 out of 456,876 or 1/456,976

Edwin

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