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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 wish to be included together only.
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 wish to be included together only.
+ 45
+ 45
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Solution
The correct option is A + 45
There are only 2 ways possible.
1.Both students are included
2.Both students are not selected
If both students are selected we need to select only 2 out of remaining 10 students.
Number of ways = 10C2 = 45
If both are not selected, all four students are selected from remaining 10 students.
It can be done = 10C4 ways.
Total number of ways of selection = number of ways of both students are selected + number of ways of both are not selected = 10C4 + 45
+ 45
There are only 2 ways possible.
1.Both students are included
2.Both students are not selected
If both students are selected we need to select only 2 out of remaining 10 students.
Number of ways = 10C2 = 45
If both are not selected, all four students are selected from remaining 10 students.
It can be done = 10C4 ways.
Total number of ways of selection = number of ways of both students are selected + number of ways of both are not selected = 10C4 + 45
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