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Q: How many different groups of students can be formed from 16?
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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 groups can be formed from 8 students at least 2 at a time?

There are 247 groups comprising 2 or more students.


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23 x 22 x 21 x 20/4 x 3 x 2 = 8,855 groups


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30C8 = 5,852,925


How many different groups of 5 students can be chosen from 23 students?

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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


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There are 32 students in a class how many ways can they be divided in groups with equal numbers of students?

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