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

[Q]: Problem: rajat , vikas and abhishek are submitting questions in the ratio 7 : 3 : 2 . if total number of questions submitted by them is 24 . find the number of questions submitted by vikas .
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
[A]: d

[Q]: Problem: evaluate 50 ! / 47 !
Options: a ) 102500 , b ) 112584 , c ) 117600 , d ) 118450 , e ) 128450
[A]: c

[Q]: Problem: in a group of 12 engineers , 4 engineers have a phd degree ; the others have only an ms or bs degree . a team of 4 engineers is to be chosen which must have at least 1 engineer with a phd , how many different teams can be chosen ?
Options: a ) 495 , b ) 70 , c ) 245 , d ) 425 , e ) 555
[A]:
d