Three members of a certain club are selected to speak at the next club meeting. If there are 36 different possible selections of the 3 club members, how many members does the club have? Choices:
A) 5 B) 6 C) 7 D) 8 E) 11
Total No. of Selection of r out of n objects are defined by nCr = n! / [(r!)(n-r)!]   i.e. If total member = n   then nC2 = n! / [(3!)(n-3)!] = 36   i.e. n*(n-1)*n-3!/ [(3!)n-3!] = 36   i.e. n*(n-1) = 108   (for Positive Values of n)   therefore, n*(n-1) = 108   i.e. n=11   Answer: Option 11
<result>E</result>
Three members of a certain club are selected to speak at the next club meeting. If there are 36 different possible selections of the 3 club members, how many members does the club have?