Decide whether the exercise involves permutations or combinations, and then solve the problem. Marbles are being drawn without replacement from a bag containing 15 marbles. (a) How many samples of 3 marbles can be drawn? (b) How many samples of 4 marbles can be drawn? (c) If the bag contains 3 yellow, 2 white, and 10 blue marbles, how many samples of 3 marbles can be drawn in which all marbles are blue? Does the problem involve permutations or combinations? Combinations Permutations (a) How many samples of 3 marbles can be drawn? 455 samples (b) How many samples of 4 marbles can be drawn? 1365 samples (c) If the bag contains 3 yellow, 2 white, and 10 blue marbles, how many samples of 3 marbles can be drawn in which all marbles are blue? samples

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Decide whether the exercise involves permutations or combinations,
and then solve the problem.
Marbles are being drawn without replacement from a bag containing
15 marbles.
(a) How many samples of 3 marbles can be drawn?
(b) How many samples of 4 marbles can be drawn?
(c) If the bag contains 3 yellow, 2 white, and 10 blue marbles, how
many samples of 3 marbles can be drawn in which all marbles are
blue?
Does the problem involve permutations or combinations?
Combinations
Permutations
(a) How many samples of 3 marbles can be drawn?
455 samples
(b) How many samples of 4 marbles can be drawn?
1365 samples
(c) If the bag contains 3 yellow, 2 white, and 10 blue marbles, how
many samples of 3 marbles can be drawn in which all marbles are
blue?
samples
Transcribed Image Text:Decide whether the exercise involves permutations or combinations, and then solve the problem. Marbles are being drawn without replacement from a bag containing 15 marbles. (a) How many samples of 3 marbles can be drawn? (b) How many samples of 4 marbles can be drawn? (c) If the bag contains 3 yellow, 2 white, and 10 blue marbles, how many samples of 3 marbles can be drawn in which all marbles are blue? Does the problem involve permutations or combinations? Combinations Permutations (a) How many samples of 3 marbles can be drawn? 455 samples (b) How many samples of 4 marbles can be drawn? 1365 samples (c) If the bag contains 3 yellow, 2 white, and 10 blue marbles, how many samples of 3 marbles can be drawn in which all marbles are blue? samples
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