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Question 33
During the essay writing stage of MBA admission process in a reputed B-School, each group consists of 10 students. In one such group, two students are batchmates from the same IIT department. Assuming that the students are sitting in a row, the number of ways in which the students can sit so that the two batchmates are not sitting next to each other, is:
Solution
Consider the case where batchmates are sitting together and then subtract those cases from total no. of cases.
When 10 students are arranged in a line, total arrangements possible are 10!
Now considering batchmates sitting together,
B1 B2 _ _ _ _ _ _ _ _
Then total arrangements possible are 9!*2!
Total ways = 10! - 9!*2!
9!*8 = 2903040
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