CHECK MY ANSWER WILL MEDAL. ( HOW MANY WAYS CAN TWO OUT OF 10 CHILDREN BE LINED UP, FOLLOWED BY LINING UP FOUR OUT OF 10 MEN, WHERE ORDER MATTERS, AND THEN INCLUDE 3 OUT OF 10 WOMEN WHERE ANY COMBINATION WILL WORK?
my answer) 7,357,000

Question

CHECK MY ANSWER WILL MEDAL. ( HOW MANY WAYS CAN TWO OUT OF 10 CHILDREN BE LINED UP, FOLLOWED BY LINING UP FOUR OUT OF 10 MEN, WHERE ORDER MATTERS, AND THEN INCLUDE 3 OUT OF 10 WOMEN WHERE ANY COMBINATION WILL WORK? 
my answer) 7,357,000

mathmate · Answer

10 children choose 2 = C(10,2) = 10!/(2!*8!)=36
10 men choose 4=C(10,4)=210
10 women choose 3 = C(10,3)=120
Multiply them together will give the number of ways to choose the 9 people (>1 million ways).
Now multiply by the number of ways you can line up the 9 people to get the final answer.

anonymous · Answer

Yah ^^ plzz fan me and medal @sar12389 i was going to say same thing thx :)

mathmate · Answer

:)

anonymous · Answer

Thx @mathmate