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Assume that a vowel is one of the letters A, E, I, O, U, or Y (for the purposes of this problem, we will ignore the fact that Y is not always a vowel.) (a) How many ten-letter sequences from the alphabet
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Assume that a vowel is one of the letters A, E, I, O, U, or Y (for the purposes of this problem, we will ignore the fact that Y is not always a vowel.) (a) How many ten-letter sequences from the alphabet contain exactly three vowels? (b) How many of the sequences from part (a) have at least one repeated letter?

User Ash Upadhyay
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Answer:

a.
10_3 {C} * 6^(3) * 20^(7) = 33,177,600,000,000 sequences

b.
10_3 {C} * 6^(3) * 20^(7) - 10_3 {C} * 6_3 {P} * 20_7{P} = 27,551,508,408,000 sequences

Explanation:

The step-by-step explanation is attached.

Assume that a vowel is one of the letters A, E, I, O, U, or Y (for the purposes of-example-1
Assume that a vowel is one of the letters A, E, I, O, U, or Y (for the purposes of-example-2
User DLobatog
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