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, 4 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 choice from the following answers.
A) 7 + 4 + 10 B) 7 × 4 × 10 C) 21 × 20 × 19 D) 7! + 4! + 10! E) 7! × 4! × 10!
Number of ways one person can be hired for the position of Sales Manager= C71C17=7   Number of ways one person can be hired for the position of Shipping Clerk= C41=4   Number of ways one person can be hired for the position of Receptionist= C101=10   Therefore total number of different hiring possible for the three positions = 7 * 4 * 10   Answer: 7 × 4 × 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, 4 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?