From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x if at least 2 interviews were conducted everyday and the interviews were completed in 4 days?
Choose the correct choice from the following answers
A) 2 B) 4 C) 6 D) 8 E) Cannot be determined
solution:   At least 2 interviews a day, so minimum 8 interviews in four days. Thus at least a total of 8 candidates should be there.   Let, total candidates = n   according to the question,   nCx = nC(x+2)   or, nCn-x = nCx+2 [nCr = nCn-r]   or, n-x = x+2   so, n = 2x+2   Remember total least number should be 8? So below 8 we can't expect anything.   Put x=2, then n=6 that is unacceptable.   so x is not equal to 2 . 2nswer: 2
<result>A</result>
From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x if at least 2 interviews were conducted everyday and the interviews were completed in 4 days?