Question

18. Find the number of ways of forming a committee of members out of 6 Indians and 5 Americans
so that always the Indians will be in majority in the committee.​

Answer 1

Answer:

281ways

Step-by-step explanation:

Total 5 members possible ways that indians are in majority when there are 6 Indians and 5 americans

Case 1: 5Indians+0Americans

Case 2: 4Indians+1Americans

Case 3: 3Indians+2Americans

So for Case 1 ways =  

6

C  

5

​  

×  

5

C  

0

​  

 

So for Case 2 ways =  

6

C  

4

​  

×  

5

C  

1

​  

 

So for Case 3 ways =  

6

C  

3

​  

×  

5

C  

2

​  

 

So totally =  

6

C  

5

​  

×  

5

C  

0

​  

+  

6

C  

4

​  

×  

5

C  

1

​  

+  

6

C  

3

​  

×  

5

C  

2

​  

 

=6+15×5+20×10=281ways