Exercise 5 A deck of cards contains 13 different numbered hearts and 26 different black cards. a) How many different card pairs are there with one heart and one black card? b) What if one card in the chosen pair is on top and the other is on the bottom? c) Can you think of two different ways to calculate part b? d) Why are the answers different in parts a and b? 4. a) 15 b) 225 c) 375 5. a) 338 b) 676 c) The heart is on the bottom and the black card on top, or the black card on the bottom and the heart on top: 13 26+26 13 = 676. The heart is chosen in 13 ways, the black card in 26 ways, and the card on the bottom in 2 ways: 13.26-2 = 676. d) Because in part b, the order in which the cards are drawn matters. 6. a) 72 b) 102 c) 2, 3 and 5 7. a) 128 b) 64 c) 63
Exercise 5 A deck of cards contains 13 different numbered hearts and 26 different black cards. a) How many different card pairs are there with one heart and one black card? b) What if one card in the chosen pair is on top and the other is on the bottom? c) Can you think of two different ways to calculate part b? d) Why are the answers different in parts a and b? 4. a) 15 b) 225 c) 375 5. a) 338 b) 676 c) The heart is on the bottom and the black card on top, or the black card on the bottom and the heart on top: 13 26+26 13 = 676. The heart is chosen in 13 ways, the black card in 26 ways, and the card on the bottom in 2 ways: 13.26-2 = 676. d) Because in part b, the order in which the cards are drawn matters. 6. a) 72 b) 102 c) 2, 3 and 5 7. a) 128 b) 64 c) 63
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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Product rule combinatorics.
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
Transcribed Image Text:Exercise 5
A deck of cards contains 13 different numbered hearts and 26 different black cards.
a) How many different card pairs are there with one heart and one black card?
b) What if one card in the chosen pair is on top and the other is on the bottom?
c) Can you think of two different ways to calculate part b?
d) Why are the answers different in parts a and b?

Transcribed Image Text:4.
a) 15
b) 225
c) 375
5.
a) 338
b) 676
c) The heart is on the bottom and the black card on top, or the black card on the bottom and the heart on top: 13 26+26 13 = 676.
The heart is chosen in 13 ways, the black card in 26 ways, and the card on the bottom in 2 ways: 13.26-2 = 676.
d) Because in part b, the order in which the cards are drawn matters.
6.
a) 72
b) 102
c) 2, 3 and 5
7.
a) 128
b) 64
c) 63
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