please help me with this homework. I can\'t figure it out. How many ways are the

Question

please help me with this homework. I can't figure it out.

How many ways are there to choose four sevens from a standard S2-card deck? How many ways are there to choose one eard from a standard 52-card deck without choosing amy sevens How many five card hands (drawn from a standard S2-card deck) contain exactly four severs? How many five-card hands (drawn from a standard 52-card deck) contain a four-of-a-kind? Points possible: 4 Unlimited attempts. score on last attempt: (0, o, o, oy, score in gradebook: (0, o, 0, 00, out of (1,1 1. 1) Submit

Explanation / Answer

a) there are only 4 sevens in the deck , so the number of ways is 4C4 = 1 ,

b) you dont have to choose any seven that leaves you with 48 cards , 48C1 = 48

c) to find exactly 4 sevens , in a 5 card draw , ways of choosign 4 sevens 4C4 , and 1Card rest is 48C1 = total 48+1 = 49 ways

d) there are total 13 quadruples ,therefore choosing one out of them 13C1 , and one from rest 48C1 =48 , therefore 13+48=61ways

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