Question

A man has 3 jackets, 10 shirts, and 5 pairs of slacks. If an outfit consists of a jacket, a shirt, and pair of slacks, how many different outfits can the man make?

Answer 1

Total number of jackets$=3$

Total number of shirts$=10$

Total number of pair of slacks$=5$

Ways of selecting one jacket${=}^3{C}_1=3$

Ways of selecting one shirt${=}^{10}{C}_1=10$

Ways of selecting one pair of slack${=}^5{C}_1=5$

Number of different outfits that can be made$=3\times 10\times 5=150$

Number of different outfits that can be made$=150$