Any 3 from 6 is 6!/(3! x 3!) ie 720/36 which is 20:
ABC/ABD/ABE/ABF/ACD/ACE/ACF/ADE/ADF/AEF/
BCD/BCE/BCF/BDE/BDF/BEF/CDE/CDF/CEF/DEF.
If the order in which they can run is taken into account then that 20 must be multiplied by 6 viz: ABC/ACB/BAC/BCA/CAB/CBA etc
two
To determine how many different teams of 9 can be chosen from 12 students, we use the combination formula (C(n, k) = \frac{n!}{k!(n-k)!}), where (n) is the total number of students and (k) is the number of students to choose. Here, (n = 12) and (k = 9). Thus, the calculation is (C(12, 9) = C(12, 3) = \frac{12!}{3! \cdot 9!} = \frac{12 \times 11 \times 10}{3 \times 2 \times 1} = 220). Therefore, there are 220 different teams of 9 that can be chosen from 12 students.
252 teams.
To determine how many different 9-member teams can be chosen from 12 students, we can use the combination formula ( C(n, k) = \frac{n!}{k!(n-k)!} ). Here, ( n = 12 ) and ( k = 9 ). This can also be expressed as ( C(12, 9) = C(12, 3) ), which simplifies the calculation. Thus, ( C(12, 3) = \frac{12!}{3! \cdot 9!} = \frac{12 \times 11 \times 10}{3 \times 2 \times 1} = 220 ). Therefore, there are 220 different 9-member teams that can be formed.
18
two
Any 5 from 7 is (7 x 6)/2 ie 21.
C105 = 10 ! / (5!x(10-5)!) = 10! /5!2 = 252
To determine how many different teams of 9 can be chosen from 12 students, we use the combination formula (C(n, k) = \frac{n!}{k!(n-k)!}), where (n) is the total number of students and (k) is the number of students to choose. Here, (n = 12) and (k = 9). Thus, the calculation is (C(12, 9) = C(12, 3) = \frac{12!}{3! \cdot 9!} = \frac{12 \times 11 \times 10}{3 \times 2 \times 1} = 220). Therefore, there are 220 different teams of 9 that can be chosen from 12 students.
Sports teams should, and usually are, chosen by merit. The goal of professional sports teams is to pick a solid, winning team, so that they can sell season tickets. Sports, after all, is a business. Teams are chosen based on ability and the positions they play.
252 teams.
The colors garnet and gold were chosen as Florida State University's colors in 1904 by a committee of students. Garnet was selected to represent the school's athletic teams, and gold was added as a complementary color. These colors were chosen to pay homage to the state's rich history and resources.
Relay Races:48 students participatingteams of equal sizemaximum team size: 6 students53. Mental Math what are the possible team sizes?How many teams would there be for each team size?Can somebody help me?
To determine how many different 9-member teams can be chosen from 12 students, we can use the combination formula ( C(n, k) = \frac{n!}{k!(n-k)!} ). Here, ( n = 12 ) and ( k = 9 ). This can also be expressed as ( C(12, 9) = C(12, 3) ), which simplifies the calculation. Thus, ( C(12, 3) = \frac{12!}{3! \cdot 9!} = \frac{12 \times 11 \times 10}{3 \times 2 \times 1} = 220 ). Therefore, there are 220 different 9-member teams that can be formed.
No.
1 team of 36 students 2 teams of 18 3 teams of 12 4 teams of 9 6 teams of 6 9 teams of 4 12 teams of 3 18 teams of 2 and 36 teams of 1
Divide then into 5 teams of 5 students