Question

Lisa and Krystal are planning trips to ten countries this year. They have 14 countries on their bucket list, in how many ways can they decide which countries to SKIP? 643 24,024 683 1,001

Answer 1

Answer:

1,001 ways for them to decide.

Step-by-step explanation:

The order in which they will visit the countries is not important, so we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

10 countries from a set of 14. So

$C_{14,10} = \frac{14!}{10!(14-10)!} = 1001$

1,001 ways for them to decide.