Question

An ice cream store sells 27 flavors of ice cream. Determine the number of 6 dip sundaes.

Answer 1

Answer:

 $\large\boxed{\large\boxed{2.428678219969\times 10^{15}}}$

Explanation:

It is said that the order is not considered, meaning that the order does not matter. For instance, ABCDEF is equal to any combination of those same letters.

Thus, this problem deals with combinations, whose formula is:

          $C(m,n)=\dfrac{m!}{n!\cdot (m-n)!}$

For 27 flavors of ice cream and 6 dip sundaes, m = 27 and n = 6:

        $C(27,6)=\dfrac{27!}{6!\cdot (27-6)!}=\dfrac{27!}{6!\cdot 13!}=2.428678219969\times 10^{15}$