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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.
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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 5 students can be chosen from 23 students?
if order does not matter then, (23x22x21x20x19)/(5x4x3x2x1) = 33,649
Write an expression represented by N students divided into groups of six?
The expression representing N students divided into groups of six can be written as ( \frac{N}{6} ). This expression indicates how many complete groups of six can be formed from N students. If there are any remaining students after forming the groups, they would not be counted in this expression as it only considers complete groups.
How many different 3 member teams can be formed from a group of 6 students?
18
How many different groups of 3 can be selected from the 10 students?
To find the number of different groups of 3 students that can be selected from 10 students, we use the combination formula: ( C(n, r) = \frac{n!}{r!(n-r)!} ). Here, ( n = 10 ) and ( r = 3 ), so the calculation is ( C(10, 3) = \frac{10!}{3!(10-3)!} = \frac{10 \times 9 \times 8}{3 \times 2 \times 1} = 120 ). Therefore, there are 120 different groups of 3 students that can be formed.
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 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 groups of 4 could be formed in a class of 23 students?
23 x 22 x 21 x 20/4 x 3 x 2 = 8,855 groups
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 5 students can be chosen from 23 students?
if order does not matter then, (23x22x21x20x19)/(5x4x3x2x1) = 33,649
How many different three-member teams can be formed from six students?
75
Write an expression represented by N students divided into groups of six?
The expression representing N students divided into groups of six can be written as ( \frac{N}{6} ). This expression indicates how many complete groups of six can be formed from N students. If there are any remaining students after forming the groups, they would not be counted in this expression as it only considers complete groups.
How many three member teams can be formed from a group of six students?
2 groups. 2 x 3= 6
How many different 3 member teams can be formed from a group of 6 students?
18
How many different groups of 3 can be selected from the 10 students?
To find the number of different groups of 3 students that can be selected from 10 students, we use the combination formula: ( C(n, r) = \frac{n!}{r!(n-r)!} ). Here, ( n = 10 ) and ( r = 3 ), so the calculation is ( C(10, 3) = \frac{10!}{3!(10-3)!} = \frac{10 \times 9 \times 8}{3 \times 2 \times 1} = 120 ). Therefore, there are 120 different groups of 3 students that can be formed.
An algebra class of 21 students must send 5 students to meet with the principal How many different groups of 5 students could be formed from this class?
To find the number of different groups (a) within a larger group (b), use the formula b!/a!.(b-a)! where the ! sign indicates "factorial". In your problem b = 21 and a = 5 so we have 21!/(5!.16!) this simplifies to 21.20.19.18.17/5.4.3.2 cancelling leaves 21.19.3.17 ie 20349
How many different committees can be formed from 6 teachers and 33 students if the committee consists of 3 teachers and 2 students?
There are 10560 possible committees.
