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Question

The following exercise is a problem that may require permutations, combinations, or the multiplication principle.

According to the Baskin-Robbins Web site, there are 21 "classic flavors" of ice cream.

(a) How many different double-scoop cones can be made if order does not matter (for example, putting chocolate on top of vanilla is equivalent to putting vanilla on top of chocolate)?

(b) How many different triple-scoop cones can be made if order does matter?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2a) Since the order is not important, we will use combination. Here, $n=21$ and $r=2$. The number of double-scoop cones that can be made is

$\begin{aligned} _{21}C_2 &= \frac{21!}{(21-2)!2!} \\ & = \frac{21!}{19! \; 2!} \\ & = 210 \end{aligned}$

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