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anonymous
 one year ago
From a deck of 52 cards, how many 5card hands can be formed with at least 3 diamonds?
anonymous
 one year ago
From a deck of 52 cards, how many 5card hands can be formed with at least 3 diamonds?

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there are 13 diamonds divided by 3 gives 4 possible decks with at least 3 diamonds

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0A lot. What have you tried?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im not sure, i feel like it starts off with \[? nCr 5 \]?

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0do you know how many hands if there are exactly 3 diamonds?

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0how many ways can you choose 3 cards from 13?

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0drop the r \[\Large_{13}C_3\]

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0ok how many cards are not diamonds?

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0a card is a diamond or it is not. you have 52 total cards and 13 of them are diamonds

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0how many ways can you choose the remaining 2 card from the 39?

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0this is again a combination

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0you are CHOOSING 2 cards from 39

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what where did the 2 come from

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0you are picking a 5 card hand. 3 are diamonds...thus the other 2 cards must not be diamonds

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0um so after 2, 37's left

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0I don't care how many are left after you pick 2. We need to know how many ways we can pick the 2 cards from the 39

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0it is the same exact idea we used to choose the 3 diamonds

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and then multiply it with 13 C 3

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0but that is not the final answer

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0because they are asking for AT LEAST 3 diamonds we need to do this tow more times. one with 4 diamonds and one with 5 diamonds

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0N(at least 3 diamonds) =N(get exactly 3 diamonds)+N(get exactly 4 diamonds)+N(get exactly 5 diamonds)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.013 C 4 * 38 C 1; 13 C 5 * 37 C 0

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0there are always 39 cards that are not diamonds

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it's 13 C 4 * 39 C 1; 13 C 5 * 39 C 0

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0yes...so what is the final answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0LOL THANK YOU SO MUCH
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