Math question on combinations. HELP
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Math question on combinations. HELP

[From: ] [author: ] [Date: 12-04-21] [Hit: ]
Number of ways that choosing 4 cards that have at most 1 red is...You can choose no red cards in 8C4 ways, so in all we have 8*8C3 + 8C4 ways.-The kings level one.......
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)

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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.

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The kings level one.
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