Question

SOMEONE HELP ME PLEASE

Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.

Ndiba and Kristin are planning trips to ten countries this year. There are 13 countries they would be interested in visiting. They are deciding which countries to skip.

Answer 1

Answer: 286 possibilities

Explanation:

It's a combination because the order of countries doesn't matter in this scenario.

• n = 13
• r = 10

`_(n) C_(r) =(n!)/(r!(n-r)!)=(13!)/(10!(13-10)!)=(13!)/(10!(3)!)=(13!)/(10!(3)!)\\\\=(6227020800)/(3628800(6))=(6227020800)/(3628800(6))=(6227020800)/(21772800)=286`

I hope this is right