SOLUTION: 5 friends 3girls and 2boys! They have to go to market! One time 2girls and 1 boy is allowed n mandatory! How many such pattern can be obtained!

Question 973968: 5 friends 3girls and 2boys! They have to go to market! One time 2girls and 1 boy is allowed n mandatory! How many such pattern can be obtained!
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
For the mandatory pattern, there are 3 ways to choose 2 girls
AB, AC,BC
There are two ways to choose 2 boys for the one boy, D or E.
The mandatory pattern of 2 girls and 1 boy may be chosen as
ABD
ABE
ACD
ACE
BCD
BCE
If there are other patterns, the question itself has to be rewritten.
If the question is that 3 may go to market, and it doesn't matter how they are chosen, then
there are 5C3=10 total ways the 5 children may be chosen. Some will have 3 girls, some will have 2 girls, and some will have 1 girl.
The number of patterns that allow 2 girls and 1 boy are 6.
The number of patterns that allow 3 girls are 1
The number of patterns that allow 1 girl and 2 boys are 3, both boys and each of the three girls.
RELATED QUESTIONS
5 friends 3girls and 2boys. They have to go to market. One time 2girls and 1 boy is... (answered by stanbon)

1. Kamrul�s friends ate 1000 pizzas in Kamrul's Birthday. Every friend of Kamrul ate at... (answered by ikleyn)

A group of friends go out to dinner one evening. They agree to share the R1 120 bill... (answered by jorel1380)

A group of friends go out for supper one evening. They decide to share the bill which... (answered by ankor@dixie-net.com,josgarithmetic,MathTherapy)

there are 3 friends going to steal mangoes in garden. 1 go to pick up mangoes. 2nd ,3rd... (answered by KMST)

A boy wants to give his 12 different books to his 3 friends. The first one will receive 5 (answered by josmiceli)

What is the probability distribution for the number of girls out of 5 babies? 0 girls=... (answered by solver91311)

If you consider the numbers 1,2,3,4, and 5, how many three digit numbers can be formed... (answered by macston)

Three friends decide to go out to eat, and then go shopping. If there are 5 local... (answered by solver91311)