If there are 52 cards in a deck with four suits (hearts, clubs, diamonds, and spades), how many ways can you select 5 diamonds and 3 clubs?

You want to select zero out of 13 hearts     :  ₁₃C₀

You want to select three out of 13 clubs:       ₁₃C₃

You want to select five out of 13 diamonds:  ₁₃C₅

You want to select zero out of 13 clubs:        ₁₃C₀

Since you want to select all of these, multiply them together:  ₁₃C₀ · ₁₃C₃ · ₁₃C₅ · ₁₃C₀