SOLUTION: In how many ways can 2 men,4 women,3 boys and 3 girls be selected from 6 men, 8 women,4 boys and 5 girls if no restrictions are imposed

Algebra.Com
Question 1058727: In how many ways can 2 men,4 women,3 boys and 3 girls be selected from 6 men, 8 women,4 boys and 5 girls if no restrictions are imposed
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
In how many ways can 2 men, 4 women, 3 boys and 3 girls be selected from 6 men, 8 women, 4 boys and 5 girls if no restrictions are imposed
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

 =  = 3*5 = 15 ways for men.


 =  = 7*2*5 = 70 ways for women.


 = 4 ways for boys.


 =  = 5*2 = 10 ways for girls.


In total, 15*70*4*10 ways.

This problem is about combinations.

On combinations, see the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".


RELATED QUESTIONS

May someone can help me with: In how many ways can 2 men, 4 women, 3 boys, 3 girls... (answered by solver91311)
Q1) [] In how many ways can 5 boys and 4 girls be seated in a row so that those of the... (answered by solver91311,Edwin McCravy)
A class consists of 12 boys and 15 girls. How many different committees of four can be... (answered by ikleyn)
In a group of men, women, boys, and girls, there were 10 more men than boys and 5 more... (answered by Edwin McCravy)
Q15 In how many ways can we distribute seven apple and six oranges among 4 children so... (answered by lynnlo)
if 2 men, 4 women and 2 boys can complete 10 hectare land in ten days then 4 men,6 women... (answered by Edwin McCravy)
In how many ways can a committee consisting of 3 men and 4 women be selected from a group (answered by rfadrogane)
how many ways can a jury of 4 men and 4 women be selected from twelve men and ten... (answered by josmiceli,nyc_function)
In how many ways can a mixed commitee of 5 be selected from 5 boys and 4 girls if the... (answered by jim_thompson5910)