A team of 11 players has to be selected from 20 players which has 5 bowlers. IN how many ways this can be done if at least 4 bowlers are always selected

(Q). A team of 11 players has to be selected from 20 players which has 5 bowlers. IN how many ways this can be done if at least 4 bowlers are always selected?
Solution:-

Number of ways 
= 4 Bowlers 7 other player + 5 Bowlers ^ other players
= ⁵C₄×¹⁵C₇ + ⁵C₅×¹⁵C₆         Answer