Question

Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can Jim and his friends go through the turnstile

Answer 1

6 ways

Explanation:

The total number of people we have entering Kennywood is 6, since it’s Jim with 5 of his friends.

Now, we can only have movement through the game one at a time

The number of ways they can move through the gate one at a time is 6C1 ways

and that is mathematically;

if we are to select a number of r items from a total of n, the number of combinations or ways is;

nCr = n!/(n-r)!r!

Applying these to the problem at hand, we have

6!/(6-1)!1! = 6!/(5!)(1!) = (6 * 5!)/5! = 6 ways