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In a bag of 100 marbles comprised of many colors, 25 are blue. suppose marbles are selected at random.
a.in any set of 5 marbles, how many different ways could you arrange 3 bluemarbles?

Respuesta :

Solution: The number of ways we can arrange 3 blue marbles if a set of 5 marbles is selected is:

[tex]\binom{5}{3}=\frac{5!}{(5-3)!3!}[/tex]

                          [tex]=\frac{120}{2 \times 6}[/tex]

                          [tex]=\frac{120}{12}=10[/tex]

Therefore, there are 10 ways we could arrange 3 blue marbles.

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