There are k-2 members in a certain band, including Jim and Ellen. Two members are to be selected to attend the Grammy awards ceremony. If there are 3 possible combinations in which Jim and Ellen are not selected, what is the value of k?  Choose the correct choice:
A) 6  B) 7  C) 8  D) 9  E) 10
There are k-2 members in the band, and k-4 members without Jim and Ellen.   (k-4)C2 = 3   (k-4)(k-5)/2 = 3   (k-4)(k-5) = 6 = 3*2   k = 7   The answer is 7.
<result>B</result>
There are k-2 members in a certain band, including Jim and Ellen. Two members are to be selected to attend the Grammy awards ceremony. If there are 3 possible combinations in which Jim and Ellen are not selected, what is the value of k?