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Probability of selecting marbles without replacement

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A jar contains 12 marbles, 5 of which are blue and 7 of which are red. If 4 marbles are chosen at random and without replacement, what is the probability of selecting 3 blue ones and 1 red one?

a. 5C3 x 7C1/12C4
b. 5P3 x 7P1/12P4
c. 5C2 x 7P2/12
d. Answer not listed

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The solution shows the detailed calculation of probability of selecting three blue and one red marble at random without replacement from a jar containing a total of 12 marbles.

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To pick 4 out of total of 12 marbles, the number of ways of selection ...

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