Marbles are being drawn without replacement from a bag containing 10 marbles. (a) How many samples of 4 marbles can be drawn? (b) How many samples of 3 marbles can be drawn? (c) If the bag contains 4 yellow, 3 white, and 3 blue marbles, how many samples of 2 marbles can be drawn in which all marbles are blue
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Question:
Marbles are being drawn without replacement from a bag containing 10 marbles. (a) How many samples of 4 marbles can be drawn? (b) How many samples of 3 marbles can be drawn? (c) If the bag contains 4 yellow, 3 white, and 3 blue marbles, how many samples of 2 marbles can be drawn in which all marbles are blue
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Answer:a. 210b. 120 c. 3 Step-by-step explanation:a) 4 marbles can be drawn in [tex]10C_4[/tex] ways = 210 ways.b)3 samples of marbles can be drawn in [tex]10C_3[/tex] ways = 120 waysc) 2 blue marbles out of 10 marbles in which only 3 are blue = [tex]3C_2[/tex] = 3 ways
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