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hsedward hsedward
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2 years ago
Determine the number of 4 -letter arrangements that can be formed with the letters of the name HILBERT. Each letter can be used only once and the arrangement must have the following: a) contain only consonants b) begin and end with a consonant c) begin with a vowel d) contain the letter B ) begin with L and end with a vowel ) begin with a consonant and end with E
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Valued Member
Educator
2 years ago
Hi hsedward

I used the fundamental counting principal here. They are not asking for probability or anything...

a) contain only consonants

H, L, B, R, T

5 * 4 * 3 * 2 = 5! = 120

b) begin and end with a consonant

5 * 2 * 4 = 40

c) begin with a vowel

2 * 5 * 4 * 3 = 120

d) I'm confusing by the way the question is written.
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