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if order does not matter then, (23x22x21x20x19)/(5x4x3x2x1) = 33,649

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How many different groups of 3 students can be formed if there are 20 students in the class?

20 x 19 x 18/3 x 2 = 1,140 groups


How many different groups of students can be formed from 16?

The number of different groups of students that can be formed from 16 students depends on the size of the groups being formed. If you are looking for all possible combinations of groups of any size (from 1 to 16), you can use the formula for combinations. The total number of combinations would be (2^{16} - 1) (subtracting 1 to exclude the empty group), which equals 65,535 different groups. If you specify a particular group size, the calculation would be different.


4 students in a class of 12. How many ways can the students be chosen if they are each given a different task?

To determine how many ways 4 students can be chosen from a class of 12 and assigned different tasks, we first select 4 students from the 12, which can be done in ( \binom{12}{4} ) ways. Then, we can assign the 4 different tasks to these students in ( 4! ) (24) ways. Therefore, the total number of ways to choose the students and assign the tasks is ( \binom{12}{4} \times 4! = 495 \times 24 = 11,880 ).


How many different teams of 9 can be chosen from 12 students?

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.


How many three person relay teams can be chosen from six students?

two

Related Questions

Is this a permutation In how many different ways could a committee of 5 students be chosen from a class of 25 students?

6,375,600


How many different groups of 8 students can you create from a class of thirty students?

30C8 = 5,852,925


How many different groups of 3 students can be formed if there are 20 students in the class?

20 x 19 x 18/3 x 2 = 1,140 groups


How many ways can an adviser chosen 4 students from a class of 12 if they are given a different task?

There are 11880 ways.


How many different groups of students can be formed from 16?

The number of different groups of students that can be formed from 16 students depends on the size of the groups being formed. If you are looking for all possible combinations of groups of any size (from 1 to 16), you can use the formula for combinations. The total number of combinations would be (2^{16} - 1) (subtracting 1 to exclude the empty group), which equals 65,535 different groups. If you specify a particular group size, the calculation would be different.


4 students in a class of 12. How many ways can the students be chosen if they are each given a different task?

To determine how many ways 4 students can be chosen from a class of 12 and assigned different tasks, we first select 4 students from the 12, which can be done in ( \binom{12}{4} ) ways. Then, we can assign the 4 different tasks to these students in ( 4! ) (24) ways. Therefore, the total number of ways to choose the students and assign the tasks is ( \binom{12}{4} \times 4! = 495 \times 24 = 11,880 ).


How many ways can a committeee of 6 be chosen from 5 teachers and 4 students if the committee must includes three teachers and three students?

There are 10 different sets of teachers which can be combined with 4 different sets of students, so 40 possible committees.


How many ways can a group of 3 students be chosen from a class of 30 students?

Well, honey, there are 30 students in the class, and you want to choose a group of 3. So, you're looking at a classic combination situation. The formula for combinations is nCr = n! / r!(n-r)!, so in this case, it's 30C3 = 30! / 3!(30-3)! = 4060 ways to choose those 3 lucky students. It's like picking the winning lottery numbers, but with fewer tears and more math.


How many groups can be formed from 8 students at least 2 at a time?

There are 247 groups comprising 2 or more students.


How many different teams of 9 can be chosen from 12 students?

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.


How many different five-person relay teams can be chosen from 7 students?

Any 5 from 7 is (7 x 6)/2 ie 21.


35 coaches and 15 students split into groups. How many groups would they have?

2.33333333