SOLUTION: A bag contains 8 red jelly beans and 8 green jelly beans. How many ways can 5 jelly beans be withdrawn from the bag with the number of green ones being less than 3?

Question 387310: A bag contains 8 red jelly beans and 8 green jelly beans. How many ways can 5 jelly beans be withdrawn from the bag with the number of green ones being less than 3?

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The 3 possibilities:
3 red, 2 green;
4 red, 1 green;
5 red, 0 green.
The first case: 8C3*8C2 = 56*28 = 1,568.
The secind case: 8C4 * 8C1 = 70*8 = 560.
The third case: 8C5 * 8C0 = 56*1 = 56.
Adding these figures arising from the mutually exclusive cases, we get 1,568 + 560 + 56 = 2,184 ways.
RELATED QUESTIONS
In a jar of 960 jelly beans 1/6 of the jelly beans are red and 1/8 of the jelly beans are (answered by checkley77)

A box contains two red, five green, six black, and four blue jelly beans. In how many... (answered by edjones)

A bag contains 4 red and 2 green jelly beans, the second bag contains 2 red and 3 green... (answered by stanbon)

A bag contains 7purple and 6 red jelly beans. What is the probability that 2 red jelly... (answered by Alan3354,solver91311)

A bag of jelly beans had only grape and orange beans in it. The ratio of grape jelly... (answered by math_helper)

Hi tutors, can you help me answer this question? thanks A jar contains red, blue,... (answered by josgarithmetic)

A jar of 252 multi coloured jelly beans contains 84 red jelly beans.if 21 jelly bean are... (answered by ikleyn)

A candy store mixes green and red jelly beans in a barrel. The barrel contains 42 pounds... (answered by addingup)

A friend of yours has a bag full of jelly beans of different colors. He gives you 4 jelly (answered by stanbon)