A class has total 10 students: 6 boys and 4 girls, in how many ways we can select a team of 5 so that number of boy is always more than the number of girls

(Q). A class has total 10 students: 6 boys and 4 girls, in how many ways we can select a team of 5 so that number of boy is always more than the number of girls?
Solution:-

∴ Number of ways = 3B2G + 4B1G + 5B0G
= ⁶C₃×⁴C₂ + ⁶C₄×⁴C₁ + ⁶C₅×1       Answer