Question -
Answer -
Given 17 players inwhich only 5 players can bowl if each cricket team of 11 must include exactly 4bowlers
There are 5 playershow bowl, and we can require 4 bowlers in a team of 11
∴ Number of waysin which bowlers can be selected are: 5C4
Now other players leftare = 17 – 5(bowlers) = 12
Since we need 11players in a team and already 4 bowlers are selected, we need to select 7 moreplayers from 12.
∴ Number of wayswe can select these players are: 12C7
∴ Total number ofcombinations possible are: 5C4 × 12C7
∴ Number of wayswe can select a team of 11 players where 4 players are bowlers from 17 playersare 3960