Suppose I have 6 shirts, 4 ties, 3 pairs of pants, and 2 pairs of shoes. If an outfit requires a shirt and pants and shoes, and can either have a tie or not have a tie, how many outfits can I make?
Just treat it as 5 ties. The fifth one is inviable.
I will simplify the question.
If you have 3 shirts and 2 pairs of pants. How many outfits can you make? (using 1 shirt and one pair of pantspants)
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