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How many strings of six lowercase letters from the English alphabet contain a) the letter a? b) the letters a and b in consecutive positions

How many strings of six lowercase letters from the English alphabet contain

a) the letter a?

b) the letters a and b in consecutive positions with a preceding b, with all the letters distinct?

c) the letters a and b, where a is somewhere to the left of b in the string, with all the letters distinct?

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