A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 6 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?  Choose the correct option:
A) 7 + 6 + 10  B) 7 × 6 × 10  C) 21 × 20 × 19  D) 7! + 6! + 10!  E) 7! × 6! × 10!
1 sales manager can be selected out of 7 in 7 ways   1 clerk can be selected out of 6 in 6 ways   1 receptionist can be selected out of 10 in 10 ways   total no. of ways these 3 can be selected = 7 *6 * 10   Ans. 7 × 6 × 10) 7 × 6 × 10
<result>B</result>
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 6 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?