My school's math club has 6 boys and 8 girls. I need to select a team to send to the state math competition. We want 6 people on the team. In how many ways can I select the team to have more girls than boys?

3 ways:

6 girls and 0 boys/6 students

5 girls and 1 boy/ 6 students

4 girls and 2 boys/ 6 students

[8+6]C6 =3,003 ways? Not certain about having "more girls than boys"!!.