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How many different 9-member teams can be chosen from 12 students?
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.
How many ways can a group of 12 including 7 boys and 5 girls be formed into two 5 person teams so each team has more than one girl?
5
How many 2 digit numbers can be formed 6987?
12
How many ways can a group of 12 including 4 boys and 8 girls be formed into two 6 person volleyball teams with no restrictions?
462 waysExplanationIn the question, it does not seem to matter how many boys or girls are on a team. So really you are asking how many ways are there to divide 12 people into two teams of 6.The answer is (12C6)/2 where 12C6 means 12 choose 6First 12 chose 6 is 12!/(12-6)!(6)! which is 12x11x10x9x8x7x6x5x4x3x2x1/(6x5x4x3x2x1)(6x5x4x3x2x1)=(12x11x10x9x8x7)/(6x5x4x3x2x1)=924(As a side note, the Google browser will calculate these numbers if you just type in 12 choose 6, for example)Now once one team of 6 is chosen, the other team is automatically the remaining 6 so we have really double counted. That is why we divide by 2 and the answeris 462 ways.
How many 4 person can be chosen from a pool of 12 people?
To determine how many groups of 4 can be chosen from a pool of 12 people, you can use the combination formula, which is ( C(n, r) = \frac{n!}{r!(n-r)!} ). Here, ( n = 12 ) and ( r = 4 ). This gives ( C(12, 4) = \frac{12!}{4!(12-4)!} = \frac{12!}{4!8!} = 495 ). Thus, 495 different groups of 4 people can be formed from the pool of 12.
How many NFL teams go to the playoffs?
12 teams
How many NFL teams go to playoffs?
12 teams
How many teams competed in the race?
The usual amount of teams in 11 or 12.
How many football teams participate in qatar stars league?
12 teams
How many welsh teams are there in the premier league?
There are 18 clubs, and 12 teams.
How Many College Teams Are In Louisiana?
12
How many athletes competed in basketball in London 2012?
almost 300 in the 12 men's teams and 12 women's teams
How many NHL hockey teams are there in Utah?
There are no NHL teams in Utah
How many teams were in the NHL in 1909?
6. The famed "Original six" teams: Montreal Canadiens Detroit Red Wings Toronto Maple Leafs Boston Bruins New York Rangers Chicago Blackhawks
How many professional baseball teams are there in japan?
12
How many players in each teams?
they have 11-12
How many teams make NFL postseason?
12
