[COMBINATIONS—VERIFICATION] A soccer player can choose from 4 different shirts, 2 different pairs of shorts, and 3 different pairs of socks. How many different uniform combinations can be chosen of one shirt, one pair of shorts, and one pair of socks?

Question

anonymous · Answer

4*2*3=24

anonymous · Answer

independent events

stamp · Answer

How would you explain your reasoning for your solution

anonymous · Answer

if events are mutually independent, their probabilities multiply.
also, logically, each shirt goes with a unique pair of shoe and sock; each shoe goes with a sock.

anonymous · Answer

If you really wanted to get technical: $$
\binom{4}{1}\cdot \binom{2}{1}\cdot \binom{3}{1}
$$

anonymous · Answer

But since $\binom{n}{1}=n$ it doesn't matter.

anonymous · Answer

4 x 2x3=24