Probability question arranging teams

Thread starter mtingt
Start date Nov 26, 2012
Tags

Probability

AI Thread Summary

To determine the number of ways to divide 11 girls and 3 boys into 2 teams of 7, with each team including at least one boy, one can start by selecting one boy and then choosing six girls for that team. The number of combinations for selecting one boy from three is calculated, followed by the combinations for selecting six girls from eleven. These two results are then multiplied to find the total arrangements for one team. This process is repeated for the second team, ensuring that the conditions of the problem are met. The solution involves careful combinatorial calculations to account for the required team compositions.

Nov 26, 2012

mtingt

Homework Statement

In how many ways can 11 girls and 3 boys be divided into 2 teams of 7 if each team is to include at least 1 boy?

Homework Equations

The Attempt at a Solution

i really have no idea how to approach this question! :(

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Nov 26, 2012

lurflurf

Homework Helper

How many ways can a team of one boy be chosen?
How many ways can a team of six girls be chosen?
Multiply these two together.

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