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 [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex]
Substitute n=10 and r=4 in above formula.
[tex]^{10}C_{4}=\frac{10!}{4!(10-4)!}[/tex]
[tex]^{10}C_{4}=\frac{10!}{4!6!}[/tex]
[tex]^{10}C_{4}=210[/tex]
Hence, the number of ways are 210.