Tanner has four different fruits that he can add to his blender: apple, orange, peach, and grapefruit. The order in which he adds these fruits matters, so we are dealing with a permutation problem.

The formula for permutations is nPr = n! / (n - r)!, where n is the total number of items, and r is the number of items to choose.

In this case, n = 4 (the total number of fruits) and r = 4 (the number of fruits he is choosing to add to the blender), so the formula becomes 4P4 = 4! / (4 - 4)!

4! (4 factorial) means 4*3*2*1 = 24.

(4 - 4)! is 0!, and the value of 0! is defined as 1.

So, 4P4 = 24 / 1 = 24.

Therefore, Tanner can add the four fruits to his blender in 24 different orders.

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Tanner has four different fruits that he can add to his blender: apple, orange, peach, and grapefruit. The order in which he adds these fruits matters, so we are dealing with a permutation problem.

The formula for permutations is nPr = n! / (n - r)!, where n is the total number of items, and r is the number of items to choose.

In this case, n = 4 (the total number of fruits) and r = 4 (the number of fruits he is choosing to add to the blender), so the formula becomes 4P4 = 4! / (4 - 4)!

4! (4 factorial) means 4*3*2*1 = 24.

(4 - 4)! is 0!, and the value of 0! is defined as 1.

So, 4P4 = 24 / 1 = 24.

Therefore, Tanner can add the four fruits to his blender in 24 different orders.

Knowee AI · Accepted Answer

Tanner has four different fruits that he can add to his blender: apple, orange, peach, and grapefruit. The order in which he adds these fruits matters, so we are dealing with a permutation problem.

The formula for permutations is nPr = n! / (n - r)!, where n is the total number of items, and r is the number of items to choose.

In this case, n = 4 (the total number of fruits) and r = 4 (the number of fruits he is choosing to add to the blender), so the formula becomes 4P4 = 4! / (4 - 4)!

4! (4 factorial) means 4*3*2*1 = 24.

(4 - 4)! is 0!, and the value of 0! is defined as 1.

So, 4P4 = 24 / 1 = 24.

Therefore, Tanner can add the four fruits to his blender in 24 different orders.

Tanner makes a smoothie for breakfast every morning. Today, he wants to use apple, orange, peach, and grapefruit. In how many different orders can he add these fruits to his blender?

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