There are 80 marbles in a box There are 20 different colors

There are 80 marbles in a box. There are 20 different colors of marbles and 4 marbles of each color. Five marbles are chosen at random from the box. How many ways can a \"full house\" be chosen? That is, three of one color and two of a different color?

Solution

20 COLORS AND 4 SET

three of one color and two of a different color will be choosen as 4C3*4C2 = 24

SINCE THIS WILL COVER TWO SETS OF COLOR

WE HAVE 20

SO MULTIPLY WHOLE WITH 10 THEN 24*10 = 240