Hi,

26 letters of the alphabet in random order. 26! total ways of arranging

(a) What is the probability that the word BLUE appears somewhere in the sequence of letters?

Consider 'BLUE' as one letter, so to speak. P = 22!/26! = 1/358,800

(b) What is the probability that the letters B,L, U, and E (i.e. the words

BLUE or LBUE or ELBU, etc) appear in a row somewhere in the sequence of letters?

24 (4P4) ways of arranging Letters B, L, U, E:  P = 24(22!/26!)

 

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