Question

A group of 7 members having a majority of boys is to be formed out of 6 boys and 4 girls. The no. Of ways the group can be formed

Answer 1

Group of 7 members with majority boys can be formed in following ways

Case 1: 4 boys and 3 girls

Case 2: 5 boys and 2 girls

Case 3: 6 boys and 1 girl

Case 1 combinations:

Select 4 boys out of 6 (6C4 ways)

Select 3 girls out of 4 (4C3 ways)

Total ways = 6C4 * 4C3 = 60 ways

Case 2 combinations:

Select 5 boys out of 6 (6C5 ways)

Select 2 girls out of 4 (4C2 ways)

Total ways = 6C5 * 4C2 = 36 ways

Case 3 combinations:

Select 6 boys out of 6 (1 way)

Select 1 girl out of 4 (4C1 ways)

Total ways = 1 * 4C1 = 4 ways

Total possible combinations = 60 + 36 + 4 = 100 ways....

Hope this answer will help you please mark as brainliest...