Question

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?

Answer 1

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

`\binom{5}{3}=(5!)/((5-3)!3!)`

`=(120)/(2 * 6)`

`=(120)/(12)=10`

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