In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of david, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Harold?
Pick.
A) 1,008
B) 1,296
C) 2016
D) 2,018
E) 2,268
Place A and E first: 8 options for D, 7 options for E.   We are left with 6 empty places. D, B and C must take first 3 places and F, G, H must take the remaining three.D, B and C can be arranged in their places in 3! ways. The same for F, G, and H.   Total = 8*7*3!*3! = 2,016.   Answer: 2016
<result>C</result>
In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of david, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Harold?