0 votes 0 votes What is the minimum number of students, each of whom comes from one of the 50 states, who must be enrolled in a university to guarantee that there are at least 100 who come from the same state? Mathematical Logic pigeonhole-principle discrete-mathematics test-series + – LRU asked Sep 26, 2021 LRU 708 views answer comment Share Follow See 1 comment See all 1 1 comment reply palashbehra5 commented Sep 26, 2021 i edited by palashbehra5 Sep 26, 2021 reply Follow Share is it 4951 0 votes 0 votes Please log in or register to add a comment.
Best answer 5 votes 5 votes 99*50=4950 it is the maximum number of students when none of the university is having 100 or more student. Now adding 1 more student will guarantee that there are at least 100 who come from the same state. So answer = 99*50 +1 = 4951 Note: To guarantee that there are at least 100 who come from the same state answer is 4951 else the answer will be 100 (All the 100 students come from the same state). raja11sep answered Sep 26, 2021 • selected Sep 27, 2021 by LRU raja11sep comment Share Follow See all 0 reply Please log in or register to add a comment.