Question

There are 20 chemistry students to be scheduled for labs this term. 6 will be assigned to the Adams Hall lab, 11 to the Baker Hall lab, and the rest to the Craig Hall lab. How many possible assignments are there of students to labs?

Answer 1

Step-by-step explanation:

Total number of chemistry students = 20

Number of students assigned to Adams Hall lab = 6

Number of students assigned to Baker Hall lab = 11

Number of Students assigned to Craig Hall Lab = 20 - (6+11) = 3

Number of possible assignments = $\frac{20 !}{6! . 11!. 3!} = 14108640 assignments$

So there will be 14108640 possible assignements of students to Labs.