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To calculate the number of 5-card Poker hands consisting of three 4's and two cards that are not 4's, we first choose 3 out of the 4 available 4's, which can be done in (\binom{4}{3} = 4) ways. Next, we need to select 2 cards from the remaining 48 cards (since there are 52 cards total and 4 are 4's), which can be done in (\binom{48}{2} = 1,176) ways. Therefore, the total number of such hands is (4 \times 1,176 = 4,704).

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2mo ago

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