Question: From the integers 1, . . . , 10, three numbers are chosen at random without re- placement. (a) What is the probability that the

From the integers 1, . . . , 10, three numbers are chosen at random without re-

placement.

(a) What is the probability that the smallest number is 4?

(b) What is the probability that the smallest number is 4 and the largest is 8?

(c) If you choose three numbers from 1, . . . , n, what is the probability that the smallest

number is j and the largest is k for possible values of j and k?

I already know parts a and b. I just need an explanation for part c.

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