Respuesta :
There are [tex]2.4286782`9969 \times 10^{15}[/tex] 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 [tex]C(m, n)=\frac{m!}{n!.(m-n)!}[/tex].
For 27 flavours of ice cream and 6 dip sundaes, m = 27 and n = 6.
Now, [tex]C(27, 6)=\frac{27!}{6!.(27-6)!}=\frac{27!}{6!.13!} =2.4286782`9969 \times 10^{15}[/tex]
Hence, there are [tex]2.4286782`9969 \times 10^{15}[/tex] of 6 dip sundaes that are possible if the order is not considered and no flavour is repeated.
To learn more about combinations visit:
https://brainly.com/question/19692242.
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