SOLUTION: A computer is programmed to print 26 letters of the alphabet in random order. 1. What is the probability that the word BLUE appears somewhere in the sequence of letters? 2. W

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Question 856342: A computer is programmed to print 26 letters of the alphabet in random order.
1. What is the probability that the word BLUE appears somewhere in the sequence of letters?
2. What is the probability that the letters B,L,U,E (i.e. the words BLUE or LBUE or ELBU, etc) appear in a row somewhere in the sequence of letters?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
1)The b must appear in the first 23 letters. There are 23 different locations it can occupy. Each other letter has only 23 places that it can occupy also.
1/23 * 1/22 * 1/21 * 1/20 * 23 = 1/9240
.
2)
4!/26P4
=24/358800
1/14950
.
Ed