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?

150

Explanation

Total number of jackets=3Total number of shirts=10

Total number of pair of slacks=5

Ways of selecting one jacket\(=3 \mathrm{C}_1=3\)

Ways of selecting one shirt \(= 10 \mathrm{C}_1=10\)

Ways of selecting one pair of slack \(= 5 \mathrm{C}_1=5\)

Number of different outfits that can be made\(=3\times10\times5=150\)

Number of different outfits that can be made=150

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