Questions: Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways 15 people can line up in a row for concert tickets. Does the situation involve permutations, combinations, or neither? Choose the correct answer below. A. Combinations. The order of the 15 people in line does not matter. B. Neither. A line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects. C. Permutations. The order of the 15 people in line matters.

Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways 15 people can line up in a row for concert tickets. Does the situation involve permutations, combinations, or neither? Choose the correct answer below. A. Combinations. The order of the 15 people in line does not matter. B. Neither. A line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects. C. Permutations. The order of the 15 people in line matters.
Transcript text: Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways 15 people can line up in a row for concert tickets. Does the situation involve permutations, combinations, or neither? Choose the correct answer below. A. Combinations. The order of the 15 people in line does not matter. B. Neither. A line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects. C. Permutations. The order of the 15 people in line matters.
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Solution

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Solution Steps

Step 1: Identify the Total Number (N) and the Selection/Arrangement Number (R)

Given that we have a total of 15 objects and we are arranging all of them,

Step 2: Determine the Importance of Order

Since the order of arrangement matters, we are dealing with permutations.

Step 3: Apply the Appropriate Formula

For permutations of all objects, the formula is \(P(n, n) = n! = 15!\).

Calculation:

\(P(15, 15) = 15! = 1307674368000\)

Final Answer:

The number of ways to arrange 15 objects is 1307674368000.

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