Determine whether the scenario below involves permutations or combinations.

At a family gathering, 32 people are trying to fit into several cars. Your car holds 6 people. How many different groups of 6 could you take in your car?

Question

Determine whether the scenario below involves permutations or combinations.

At a family gathering, 32 people are trying to fit into several cars. Your car holds 6 people. How many different groups of 6 could you take in your car?

anonymous · Answer

unless it matters what order they enter the car, then it is a "combination" the number of ways you can choose 6 out of 32

uri · Answer

32P6

anonymous · Answer

otherwise known as $\binom{32}{6}$ or $_{32}C_6$

anonymous · Answer

@uri i don't think it matters what order they enter the car, just a group of six planted in the car 
not a permutation, but rather a combination

uri · Answer

Oops its combination
So,
32C6=32P6/6!

uri · Answer

32*31*30*29*28*27/6*5*4*3*2*1

uri · Answer

@satellite73 Am i right?

anonymous · Answer

Thank you @satellite73  and @uri, I deeply appreciate it

uri · Answer

yw :)