Help please

Question

John has 8 different shirts: 3 white shirts, 2 blue shirts, and 3 black shirts. He also has 6 different pants: 1 white pants, 2 blue pants, and 3 black pants. How many different ways can John dress without the pants and shirts colors matching.

Answer 1

Try matching up the shirts to the pants that don't match in color, for all the different shirt colors:

3 white shirts * (2 blue pants + 3 black pants) +

2 blue shirts * (1 white pant + 3 black pants) +

3 black shirts * (1 white pant + 2 blue pants)