In a mathematics class, the teacher asks Veli to calculate in how many different ways 3 students can be selected, Yasin to calculate in how many different ways 5 students can be selected, and Zeynep to calculate in how many different ways 11 students can be selected from the students in the class. All three students calculated the requested numbers correctly. Given that the numbers found by Yasin and Zeynep are the same positive integer, what is the number found by Veli? A) 364 B) 560 C) 688 D) 816 E) 960
In a mathematics class, the teacher asks Veli to calculate in how many different ways 3 students can be selected, Yasin to calculate in how many different ways 5 students can be selected, and Zeynep to calculate in how many different ways 11 students can be selected from the students in the class. All three students calculated the requested numbers correctly.
Given that the numbers found by Yasin and Zeynep are the same positive integer, what is the number found by Veli?
A) 364
B) 560
C) 688
D) 816
E) 960