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Question
Team of four students is to be selected from a total of 12 students for a quiz competition. In how many ways it can be selected if two particular students do not wish to be together in the team.
Team of four students is to be selected from a total of 12 students for a quiz competition. In how many ways it can be selected if two particular students do not wish to be together in the team.
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Solution
The correct option is B 450
Total Number of ways to select four students = 12C4= 495
If two particular students are already selected we need to select only 2 out of remaining 10 students.
Number of ways = 10C2 = 45
Number of ways in which two are not included together = Total Number of ways to select four students - Number of way in which both are selected
=495−45=450
450
Total Number of ways to select four students = 12C4= 495
If two particular students are already selected we need to select only 2 out of remaining 10 students.
Number of ways = 10C2 = 45
Number of ways in which two are not included together = Total Number of ways to select four students - Number of way in which both are selected
=495−45=450
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