In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?
Out of 17 players, 5 players are bowlers.
A cricket team of 11 players is to be selected in such a way that there are exactly 4 bowlers.
4 bowlers can be selected in `""^5C_4` ways and the remaining 7 players can be selected out of the 12 players in `""^12C_7` ways.
Thus, by multiplication principle, required number of ways of selecting cricket team
Video Tutorials For All Subjects
- Concept of Combinations