**MEDAL**
What's the formula for combinations like so:

A basketball team has 10 players. Five of the players are guards, three are forwards, and two are centers.
If the coach must choose two guards, two forwards, and one center to start the game, how many possible combinations are there?

a. 60
b. 252
c. 1440
d. 30,240

Question

**MEDAL**
What's the formula for combinations like so:

A basketball team has 10 players. Five of the players are guards, three are forwards, and two are centers.
If the coach must choose two guards, two forwards, and one center to start the game, how many possible combinations are there?

a. 60
b. 252
c. 1440
d. 30,240

hartnn · Answer

if you need to choose 'r' members from total 'n' 
then the possible ways are 
$\Large ^nC_r $

so how many ways to choose 2 guards from total 5 ?

wmj259 · Answer

Do you know how to draw a tree graph?

hartnn · Answer

how many ways to choose 2 forwards from total 3 ?
and 1 center from total 2 ?

anonymous · Answer

|dw:1414877447475:dw|
That's a tree graph, right?

uri · Answer

|dw:1414877475785:dw|