Question

An ice cream store sells 27 flavors of ice cream. Determine the number of 6 dip sundaes. How many 6 dip sundaes are possible if order is not considered and no flavor is​ repeated?

Answer 1

There are $2.4286782`9969 \times 10^{15}$ of 6 dip sundaes that are possible if the order is not considered and no flavour is​ repeated.

Given that, an ice cream store sells 27 flavours of ice cream.

We need to find how many 6 dip sundaes are possible if the order is not considered and no flavour is​ repeated.

What are combinations?

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

This problem deals with combinations, whose formula is $C(m, n)=\frac{m!}{n!.(m-n)!}$.

For 27 flavours of ice cream and 6 dip sundaes, m = 27 and n = 6.

Now, $C(27, 6)=\frac{27!}{6!.(27-6)!}=\frac{27!}{6!.13!} =2.4286782`9969 \times 10^{15}$

Hence, there are $2.4286782`9969 \times 10^{15}$ of 6 dip sundaes that are possible if the order is not considered and no flavour is​ repeated.

To learn more about combinations visit:

brainly.com/question/19692242.

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