17 Sam plays a game in which he selects three different numbers from 1 to n (n > 3). After he selects his numbers, four different winning numbers from 1 to n are chosen, one at a time. Sam wins if all three of his numbers are among the four winning numbers. The first number chosen is one of Sam's! His probability of winning is now given by 24 P(n) = - 3n? + 2n 3 %3D a) Simplify P(n) and state the restrictions on n. b) What would Sam's probability of winning be if i) n = 5? ii) n=4? |3|

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