8 students has to be selected such that 4 students from science group & 4 students from Arts group. Number of participants in different group is as follows:-
Science group:- Total 9 students – 5boys and 4 girls
Art group:- Total 9 students – 4 boys and 5 girls
How many ways group of 8 students can be selected if it has 4 boys and 4 girls

(Q). 8 students has to be selected such that 4 students from science group & 4 students from Arts group. Number of participants in different group is as follows:-
Science group:- Total 9 students – 5boys and 4 girls
Art group:- Total 9 students – 4 boys and 5 girls
How many ways group of 8 students can be selected if it has 4 boys and 4 girls?
Solution:-
Following different cases can be made:-

Hence total number of ways
 = 1 + 400 + 3600 + 1600 + 25
= 5626 ways         Answer