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From a class of 25 students, 10 are to ...

From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen?

Text Solution

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the students will join the party, then the combination will be,
`C_1`= `2C_7`
​=170544
the students will not join the party, then the combination will be,
`C_2` = `22C_10`
=​ 646646
...
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