A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. How many 7-card hands will consist of exactly 3 kings and 3 queens?
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12) A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all.
How many 7-card hands will consist of exactly 3 kings and 3 queens?
11) How many words can we build using exactly 4 A's, 4 B's and 4 C's if the first 4 letters cannot be A's, the second 4 letters cannot be B's and the third 4 letters cannot be C's?
Hint: Group the different ways according to the number of B's in the first group.
10a) The annual National No Spying Day is celebrated at KAOS headquarters this year. There are 11 Control agents and 16 KAOS agents attending. How many ways can we choose a team of 7 agents if 3 team members need to be from Control and 4 from KAOS?
b) How many ways can we choose a team of 7 agents if at least 1 team member needs to be from Control?
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