Q: There are 5 shirts all of different colors, 4 pairs of pants all of different colors, and 2 pairs of shoes with different colors. In how many ways can Amy and Bunny be dressed up with a shirt, a pair of pants, and a pair of shoes each ? ( Question from Brilliant App ).
Solution: (5c2 * 2!) * (4c2 * 2!) * (2c2 * 2!) = 480
No of permutations = 5 * 4 * 2 == 40 ways of ordering
Choosing 2 from these 40 orderings = 40c2 * 2! = 1560
Please let me know what is wrong with my approach.