InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
A basketball coach has to select 5 main players out of a total of 12 players. Aman will not be a part of the main five if Akbar is not in the main five. In how many ways can the coach get to choose the main five?1). 5822). 2913). 1204). 210 |
|
Answer» It is given that AMAN will not be a part of the main 5 if AKBAR is not in the main 5, but the vice versa does not apply, i.e. Akbar can still be a part of the main 5 even without Aman. Hence, let us consider 3 cases: Case 1: Both Aman and Akbar are in the main 5, ⇒ There are 10 more players left to fill 3 positions ⇒ No. of ways of selecting them = 10C3 = 120 Case 2: Aman is not in the main 5, but Akbar is, ⇒ There are 10 more players left to fill 4 positions ⇒ No. of ways of selecting them = 10C4 = 210 Case 3: NEITHER Aman nor Akbar is in the TEAM, ⇒ There are 10 more players left to fill 5 positions ⇒ No. of ways of selecting them = 10C5 = 252 Hence, the total no. of ways of choosing the main 5 = 120 + 210 + 252 = 582 |
|