. In a small school, 5 centers, 8 guards, and 6 forwards try out for the basketb
ID: 3040338 • Letter: #
Question
. In a small school, 5 centers, 8 guards, and 6 forwards try out for the basketball team. (a) How many five-member teams can be formed from these players? (Assume a team has two guards, two forwards, and one center.) (b) Intercollegiate regulations require that no more than 8 players can be listed for the 10. In bow many diferent ways can the leters in the word "repetion" be arranged? 14. A shipment of 20 components will be accepted by a buyer if a random sample of 3 (cho- sen without replacement) contains no defectives. What is the probability the shipment will be rejected if actually 2 of the components are defective? 20. A small pond contains 50 fish, 10 of which have been tagged. If a catch of 7 fish is made, in how many ways can the catch contain exactly 2 tagged fish?Explanation / Answer
Ans 4
a )
Five member team that can be formed
C(8,2)*C(6,2)*C(5,1)
28*15*5 =2100
b)
For 8 players we can have an extra player of each center , forward and guard
C(8,3)*C(6,3)*C(5,2)
=56*20*10 = 11200
PS : We are directed to solve only the first question when multiple questions are posted or the first 4 parts when multiple parts of the same question are posted.
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