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Help with problem

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My school's math club has  boys and  girls. I need to select a team to send to the state math competition. We want  people on the team. In how many ways can I select the team without restrictions?

Jan 27, 2023

#1
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The number of ways is \(\binom{6}{3} \binom{8}{3} = 40320\)

Jan 27, 2023
#2
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It is incorrect

Jan 27, 2023
#3
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How many diagonals are in the fifth polygon of this sequence of regular polygons below?

Jan 27, 2023
edited by Readyformoremath  Jan 27, 2023
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There are 12 diagonals.

Guest Jan 27, 2023
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Unfortunately Guest's solution is wrong

The answer is 14 diagonals in a heptagon

why?

the formula for determining the number of diagonals on a polygon is n(n - 3)/2

7*4/2 = 14

YourAverageDummy  Jan 28, 2023
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this has already been solved by melody and solution completed by arnolde

if you want to view the full solution you can go to https://web2.0calc.com/questions/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_1

Jan 28, 2023