Question

9. Brett has ten distinct T-shirts. He is planning on going on a short weekend trip to visit his brother in college. He has enough room in his bag to pack four T-shirts. How many different ways can he choose four T-shirts for his trip?

Answer 1

Answer:

The number of ways are 210.

Step-by-step explanation:

Consider the provided information.

Brett has ten distinct T-shirts. He is planning on going on a short weekend trip to visit his brother in college. He has enough room in his bag to pack four T-shirts.

Since order doesn't matter so we will use combination.

Use the formula for combination $^{n}C_{r}=\frac{n!}{r!(n-r)!}$

Substitute n=10 and r=4 in above formula.

$^{10}C_{4}=\frac{10!}{4!(10-4)!}$

$^{10}C_{4}=\frac{10!}{4!6!}$

$^{10}C_{4}=210$

Hence, the number of ways are 210.