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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?
Asked by Sujeet Last Modified
Answer 
Harshit Bhardwaj
From the class of 25 students, 10 are to be chosen for an excursion party.
Since there are 3 students who decide that either all of them will join or none of them will join, there are two cases.
Case I: All the three students join.
Then, the remaining 7 students can be chosen from the remaining 22 students in _SU_SS_html_4da08440.gif){kind=small}
ways.
Case II: None of the three students join.
Then, 10 students can be chosen from the remaining 22 students in _SU_SS_html_3a058fc6.gif){kind=small}
ways.
Thus, required number of ways of choosing the excursion party is _SU_SS_html_7e0e4442.gif){kind=small}
.
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