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aev [14]
3 years ago
9

Manuel has 6 CDs that he is going to give away. He lets his best friend choose 3 of the 6 CDs. How many different groups of 3 CD

s are possible?
Mathematics
1 answer:
levacccp [35]3 years ago
5 0

Answer:

20 groups

Step-by-step explanation:

The number of different groups possible to choose from would be the combination because order doesn't matter.

Ways of choosing r things from n total things in combination is given by:

nCr = \frac{n!}{(n-r)!*r!}

Where

n ! = n * (n-1) * (n-2) * ....

So here we use

n = 6

r = 3

substituting in formula we get:

nCr = \frac{n!}{(n-r)!*r!}\\6C3 = \frac{6!}{(6-3)!*3!}\\6C3=\frac{6*5*4*3!}{3!*3*2*1}\\6C3=5*4=20

So, 20 groups are possible

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