A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included a particular student?Choices:- 6 8 10 12
Question
A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included a particular student?Choices:- 6 8 10 12
Solution
To solve this problem, we can use the combination formula which is nCr = n! / r!(n-r)!.
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First, we find the total number of groups that can be formed from 6 students. This is 6C3 = 6! / 3!(6-3)! = 20 groups.
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Then, we find the number of groups that include a particular student. This is equivalent to choosing 2 students from the remaining 5 (since one student is already chosen). This is 5C2 = 5! / 2!(5-2)! = 10 groups.
So, the answer is 10 groups.
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