Answer:
The total number of ways are 315.
Step-by-step explanation:
Consider the provided information.
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department.
Therefore the number of ways are:
[tex]^7C_1 = 7[/tex] ways
There are 7 ways to fill math position.
2 of 10 candidates eligible to fill 2 identical positions in the computer science department.
Therefore the total number of ways are:
[tex]^{10}C_2 = \frac{10!}{2!8!} = 45[/tex]
Hence, there are 45 ways to fill computer science position.
Total number of ways = 7 × 45 = 315 ways.
Hence, the total number of ways are 315.
