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aev [14]
3 years ago
6

The choir club at a local school is running a field to a waterpark. There are 6 parks the club is considering. The director has

asked the members to each pick three to narrow down the list of possibilities before making a final decision. How many different possibilities are there for the list of three?
A. 20
B. 150
C. 30
D. 120
Mathematics
2 answers:
FrozenT [24]3 years ago
8 0

Answer20:

Step-by-step explanation:

ddd [48]3 years ago
5 0

The formula C(n, r)= \frac{n!}{r!(n-r)!}, where r! is 1*2*3*...r


is the formula which gives us the total number of ways of forming groups of r objects out of n objects.


for example, given 10 objects, there are C(10,6) ways of forming groups of 6, out of the 10 objects.


<span>Thus, there are C(6, 3) many ways of forming different triples out of 6.</span>


C(6, 3)= \frac{6!}{3!(6-3)!}=\frac{6!}{3!3!}=\frac{6\cdot5\cdot4\cdot3!}{3!3!}=\frac{6\cdot5\cdot4}{3!}=\frac{6\cdot5\cdot4}{3\cdot2\cdot1}=5\cdot4=20


Answer: A.20

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