# 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