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If the letters "a,e,m,x" are randomly typed, what is the probability that the word "exam" is typed?

Solve it correctly please. I will rate accordingly with multiple votes. My last attempt. Please do it correctly and Ty-ped answer only.

User Ecp
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Answer:

Since a, e, m, and x are distinct letters, there are 4 ways to choose the first letter, there are 3 ways to choose the second letter, there are 2 ways to choose the third letter, and there is 1 way to choose the fourth letter. So there are

4 × 3 × 2 × 1 = 24 ways to randomly type these four letters. Since one of these ways is the word "exam", the probability of typing the word "exam" is 1/24.

User PPD
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