KVPY SX SB Exam 2016 Question Paper

Question : 89 of 120

Marks: +1, -0

Three schools send 2, 4 and 6 students, respectively, to a summer camp. The 12 students must be accommodated in 6 rooms numbered 1,2,3,4,5,6 in such a way that each room has exactly 2 students and both from the same school. The number of ways, the students can be accommodated in the rooms is -

60
45
32400
2700

Validate

Solution:

4!/{(2^2)!2!}×6!/{(2^3)!3!}×6!

= 32400

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