A miniature gumball machine contains 4 blue, 3 green, and 3 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?  Pick
A) 2/5	B) 3/5	C) 3/10	D) 7/30	E) 11/30
The total number of ways to dispense 3 gumballs is 10C3=120.   The number of ways to choose one of each color is   4*3*3= 
<gadget id="calculator">  4*3*3</gadget>
<output>36</output>
36.   P(dispensing one of each color)=36/120=3/10.   The answer is 3/10.
<result>C</result>
A miniature gumball machine contains 4 blue, 3 green, and 3 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?