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Question: 2014 Fall Midterm - 3

Author: Michiel Smid

Consider 17 boys and 17 girls. How many ways are there to arrange them on a line if all boys are standing next to each other and all girls are standing next to each other?

a) $17! + 17!$

b) $2(17! + 17!)$

c) $(17!)^2$

d) $2(17!)^2$

Consider 17 boys and 17 girls. How many ways are there to arrange them on a line if all boys are standing next to each other and all girls are standing next to each other?
(a)
$(17!)^2$
(b)
$2(17! + 17!)$
(c)
$2(17!)^2$
(d)
$17! + 17!$