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3 years ago

How many strings of length 10 over the alphabet (a, b, c, d] have at least one b somewhere in the string?

Physics

1 answer:

Lapatulllka [165]3 years ago

8 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is B

Explanation:

The number of alphabet is n= 4 (a , b , c , d )

Generally the total number of string of length 10 over the 4 alphabets is

$N = 4^{10}$

Gnerally the number of string of length 10 that does not include b is

$T = 3^{10}$

Generally the number of strings of length 10 over the 4 alphabets that have at least one alphabet b somewhere in the string is

$G = N - T$

=> $G = 4^{10} - 3^{10}$

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