from a deck of 52 cards, the 12 face cards and 4 aces are removed. from these 16 cards, 4 are chosen. how many combinations are possible that have at most 1 red card?
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Number of ways of choosing 4 cards is 16c4
Number of ways of choosing 4 cards, two of which are red, is 8c2*8c2
Number of ways of choosing 4 cards, 3 three of which are red, is 8c3*8c1
Number of ways that choosing 4 cards that have at most 1 red is...
16c4 - ( 8c2*8c2 + 8c3*8c1)
Number of ways of choosing 4 cards, two of which are red, is 8c2*8c2
Number of ways of choosing 4 cards, 3 three of which are red, is 8c3*8c1
Number of ways that choosing 4 cards that have at most 1 red is...
16c4 - ( 8c2*8c2 + 8c3*8c1)
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You have 8 red cards and 8 black cards
At most 1 red card means either exactly 1 red card or no red cards
You can choose exactly 1 red card in 8*8C3 ways
You can choose no red cards in 8C4 ways, so in all we have 8*8C3 + 8C4 ways.
At most 1 red card means either exactly 1 red card or no red cards
You can choose exactly 1 red card in 8*8C3 ways
You can choose no red cards in 8C4 ways, so in all we have 8*8C3 + 8C4 ways.
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The kings level one.