algebra

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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.

• algebra -

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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