From a certain number of people who attended an interview, y people were selected. If instead, y+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of y 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) 6 B) 10 C) 5 D) 2 E) 8
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(y+2)   or, nCn-y = nCy+2 [nCr = nCn-r]   or, n-y = y+2   so, n = 2y+2   Remember total least number should be 8? So below 8 we can't expect anything.   Put y=2, then n=6 that is unacceptable.   so y is not equal to 2 .   Answer:2
<result>D</result>
From a certain number of people who attended an interview, y people were selected. If instead, y+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of y if at least 2 interviews were conducted everyday and the interviews were completed in 4 days?