In this task, you need to provide the correct option for a given problem from the provided options.

Q: Problem: a certain university will select 2 of 6 candidates eligible to fill a position in the mathematics department and 3 of 5 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 42 , b ) 70 , c ) 150 , d ) 165 , e ) 315

A: c
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Q: Problem: a bag contains 5 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is 
Options: a ) 8 / 15 , b ) 2 / 5 , c ) 3 / 5 , d ) 11 / 15 , e ) 19 / 39

A: e
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Q: Problem: the ratio of pens to pencils is 5 to 6 . there are 8 more pencils than pens . how many pencils are there ? 
Options: a ) 30 , b ) 32 , c ) 48 , d ) 55 , e ) 64

A:
c
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