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At the ice cream shop, there are 30 flavors of ice cream available. How many ways can you select a bowl of 4 scoops of ice cream if each scoop is a different flavor?

Answer :

There are 657,720 ways to select a bowl of 4 scoops of ice cream if each scoop is a different flavor. At the ice cream shop, there are 30 flavors of ice cream available.

To calculate the number of ways you can select a bowl of 4 scoops of ice cream with each scoop being a different flavor, you can use the concept of permutations.

In this case, since each scoop is a different flavor, we are selecting 4 different flavors out of 30 available flavors. The number of ways to do this can be calculated using the formula for permutations: P(n, r) = n! / (n - r)!

In this formula, n represents the total number of flavors available (30 in this case), and r represents the number of scoops (4 in this case).

So, to calculate the number of ways to select a bowl of 4 scoops of ice cream, we have:

P(30, 4) = 30! / (30 - 4)! = 30! / 26!

Now, let's simplify the equation:

30! = 30 × 29 × 28 × 27 × 26!

Canceling out the common factor of 26!:

P(30, 4) = 30 × 29 × 28 × 27

Now, we can calculate this value:

P(30, 4) = 30 × 29 × 28 × 27 = 657,720

Therefore, 4 scoops of ice cream in a dish may be chosen in 657,720 distinct ways if they are all of a different flavor.

To know more about permutations visit:

https://brainly.com/question/32028839

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