Decide if the situation involves permutations, combinations, or neither Explain

Question

Decide if the situation involves permutations, combinations, or neither Explain your reasoning The number of ways 16 people can line up in a row for concert tickets Does the situation involve permutations, combinations, or neither? Choose the correct answer below. A. Permutations The order of the 16 people in line matters B. Combinations The order of the 16 people in lino does not matter. C. Neither A line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects.

Explanation / Answer

Permutationsare for lists (order matters) andcombinations are for groups (order doesn't matter).

an ordered arrangement of objects. the number of different permutations of n distinct objects is n!

the number of permutations of n distinct objects taken r at a time is

nPr = n! / (n-r)!

combination

a selection of r objects from a group of n objects without regard to order and is denoted by nCr

nCr =n! / (n-r)! r! where r is < or = n

So answer is B.

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.