in a group of 6 people there are 3 indians and 3 chinese.How many subset can be created such that there are atleast 1 indian in each subset?

in a group of 6 people there are 3 indians and 3 chinese.How many subset can be created such that there are atleast 1 indian in each subset?

ans 56?

2Comments
Shraddha @shraddhagami
9 Feb 2017 10:20 pm

1 indian and (0 or 1 or 2 or 3 ) Chinese=>3C1*(3C0+3C1+3C2+3C3)

=3*8=24

2 indian and (0 or 1 or 2 or 3 ) Chinese=>3C2*(3C0+3C1+3C2+3C3)

=3*8

3 indian and (0 or 1 or 2 or 3 ) Chinese=>3C3*(3C0+3C1+3C2+3C3)

=1*8

Answer: 24+24+8=56

 

 

karmjit joshi @karmjitjoshi
10 Feb 2017 11:19 am

thx for nice explanation