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myUTEP I My Dashboard Courses _ Blackboard Le × / yA wc AppCalc Homework .> clwww.webassign.net/web/Student/Assignment-Responses/last?dep: 16970256 15. 0/1 points | Previous Answers WaneFMAC7 7.4.053. My Notes Your international diplmacy trip requires stops in Thailand, Singapore, and Bali. How many possible itineraries are there? HINT [See Examples 1 and 2.] X itineraries Need Help? Read It 16. + -/1 points WaneFMAC7 7.4.056 My Notes A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of the specified type. HINT [See Example 8.] Three of a kind (three of one denomination, one of another denomination, and one of a third) For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (.), diamonds (9), clubs (), and spades (4). Thus, for instance, the jack of spades, Je, refers to the denomination of jack in the suit of spades. The entire deck of cards is as shown below hands Need Help?Read ItWatch It 3-28 PM 11/12/2017 Type here to search

Explanation / Answer

Number of ways of selecting 1 denominations out of 13 is C(13,1). Number of ways of selecting 3 cards out of 4 cards of selected denomination is C(4,3). And then select two denominations out of remaining 12 denominations is C(12,2) and then 1 card from each selected denominations is C(4,1)C(4,1). So number of ways are there to draw a 5 card poker hand that contains 3 a kind is

C(13,1)C(4,3)C(12,2)C(4,1)C(4,1) = 54912 ways

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