Last 2 questions I hope which I need help on...
1. If you are dealing from a standard deck of 52 cards,
a) how many different 5-card hands could have at least one spade?
b) how many different 5-card hands could have at least two face cards (jacks, queens, or kings)
-------------------------
2. A theme park has a variety of rides. There are seven roller coasters, four water rides, and nine story rides. If Stephanie wants to try one of each type of ride, how many different combinantions of rides could she choose.
---------------------------------
Like the previous ones, I am not understanding these ones either... Can someone also provide tips on how to solve these combination questions..please...
sorry and thanks
2007-07-05 18:35:49 · 2 answers · asked by mapleleaffan 1 in Science & Mathematics ➔ Mathematics
1.
(52C5) = 2,598,960 5-card hands
Hands wih no spades will be
(39C5) = 575,757 hands
hands with at least 1 spade, then, will be
2,598,960 - 575,757 = 2,023,203 hands
2.
7*4*9 = 252 combinations.
2007-07-05 19:09:08 · answer #1 · answered by Helmut 7 · 0⤊ 0⤋
to count the hands with at least one spade, count those with no spades.
C(52,5) = all possible 5-card hands
c(39,5) = all those with no spades
ans = C(52,5) - C(39,5)
to count those with at leat 2 face cards, count those without/
C(52,5) is all hands
C(40,5) is those with no face card
12 * C(40,4) 0s the count of those with one face card.
12 choices for the face card, C(40,4) for hte rest of the hand.
answer: C(52,5) - C(40,5) - 12C(40,4)
the choices are independent. 7*4*9 = 252
2007-07-06 02:18:06 · answer #2 · answered by holdm 7 · 0⤊ 0⤋