(a) Suppose we create strings from the alphabet {a, b}, for example, “baba”, “abab”, or “aaab”....

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(a) Suppose we create strings from the alphabet {a, b}, for example, “baba”, “abab”, or “aaab”....

(a) Suppose we create strings from the alphabet {a, b}, for example, “baba”, “abab”, or “aaab”. How many strings of length 10 are there that have at least one of each letter in the alphabet?

(b) Suppose we change to the alphabet {a, b, c}. Now how many strings of length 10 are there that have at least one of each letter in the alphabet?

math Statistics-And-Probability

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Answer 1

Answer #1

a) creating the string of length 10, there are 2 choices to fill each position

number of all possible string = 2¹⁰

b) creating the string of length 10, there are 3 choices to fill each position

number of all possible string = 3¹⁰

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Answer 2

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