Asked by ally

Four marbles are drawn at random from a bag containing 7 black marbles and 10 red marbles. Determine the number of outcomes in the sample space of this experiment if the marbles are drawn without replacement.

Answers

Answered by Reiny
All black --- 1
3black, 1red = 4!/(3!1!) = 4
2black, 2red = 4!(2!2!) = 6
1 black, 3red = 4
all red = 1

BBBB

BBBR
BBRB
BRBB
RBBB

BBRR
RRBB
BRBR
RBRB
BRRB
RBBR

RRRB
RRBR
RBRR
BRRR

RRRR
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