There are 20 members on a football squad. In electing a caption and a co-captain, how many different outcomes of the election is possible ? 

A   760 

B   380 

C    190 

D    270 

Solution

Correct Answer: Option C

  যেহেতু ২০ জনের থেকে অধিনায়ক ও সহ-অধিনয়াক অর্থাৎ মোট ২ জন নিতে হবে, তাই সূত্রটি হবে 

     \(^{20}{C_{2\;}} = \frac{{20!}}{{2!\left( {20 - 2} \right)!}} = \frac{{20.19.18!}}{{2.18!}} = \frac{{20.19}}{{2.}} = 10 \times 19 = 190\) 

Practice More Questions on Our App!

Download our app for free and access thousands of MCQ questions with detailed solutions