MHTCET 14 May 2023 Shift 1 Solved Paper

Case I: No boy is included.
Selecting 4 girls from 6 girls =‌6C4
Selecting 1 captain from selected members =‌4C1
Total number of ways =‌6C4×‌4C1=60
Case II: One boy is included.
Selecting 3 girls and 1 boy from given members
=‌6C3×‌4C1‌. ‌
Selecting 1 captain from the selected members =‌4C1
Total Number of ways =‌6C3×‌4C1×‌4C1=320.
∴ Total Number of ways =320+60=380.