JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-32
question_answer
Four students from University \[{{U}_{1}}\], one of them is Mr. A, and five students from University \[{{U}_{2}}\], one of them is Mr. B, are going to see an Inter University Cricket tournament. However, they found, that only 5 ticket remaining, so 4 of them must go back. Suppose that at least one student from each University must go to see the game, and at least one of Mr. A and Mr. B must go to see the game. Number of ways of selecting 5 students satisfying the above constraint, is equal to
A)126
B) 140
C)104
D) 116
Correct Answer:
C
Solution :
Number of ways = Total - (when both A and B are excluded) \[{{=}^{9}}{{C}_{5}}{{-}^{7}}{{C}_{5}}=104\]