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

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

Problem: there are 8 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? 
Options: a ) 45 , b ) 55 , c ) 65 , d ) 75 , e ) 85
b

Problem: of the 75 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30

c

