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StatisticsQ&A LibraryNew Jersey Pick 6 In the New Jersey Pick 6 lottery game, a bettor selects six different numbers, each between 1 and 49. Winning the top prize requires that the selected numbers match those that are drawn, but the order does not matter. Do calculations for winning this lottery involve permutations or combinations? Why?Question

Asked Dec 29, 2019

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New Jersey Pick 6 In the New Jersey Pick 6 lottery game, a bettor selects six different numbers, each between 1 and 49. Winning the top prize requires that the selected numbers match those that are drawn, but the order does not matter. Do calculations for winning this lottery involve permutations or combinations? Why?

Step 1

Solution:

We have to determine whether the calculations for winning the below lottery involve permutations or combinations.

In the New Jersey Pick 6 lottery game, a bettor selects six different numbers, each between 1 and 49. Winning the top prize requires that the selected numbers match those that are drawn, but the order does not matter.

Step 2

We will first see the situations where we can use combination and permutation calculations.

Permutations are used for counting arrangements of items in which the order of the items matters.

Combinations are used for counting arrangements of items in which the order of the items does not matter.

Step 3

In the given situation, we are told that the order does not matter, t...

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