There are 9 men and 10 women, including Julia, who are trying out for a team. so there are 31,752 possible teams that would include Julia.
Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
Each of the teams in a mixed volleyball league consists of 5 men and 5 women.
There are 9 men and 10 women, including Julia, who are trying out for a team.
The number of combinations for men
= (9 × 8 × 7 × 6 × 5)/(1 × 2 × 3 × 4 × 5)
=126.
The number of combinations for women
= (10 × 9 × 8 × 7 × 6)/(1 × 2 × 3 × 4 × 5)
=252.
The number of the possible team would include Julia
(126 × 252) = 31,752.
Learn more about combinations;
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