The number of ways of selecting 3 batsman, 5 bowlers from 5 batsman, 7 bowlers so that one particular batsman must be included, and one particular bowler excluded from selection is 
 

Number of batsmen=5, Number of bowlers=7

Number of batsmen to be selected=3,Number of bowlers to be selected=5

One batsman is included and one bowler is excluded

So from 4 batsmen 2 batsmen to be selected and from 6 bowlers 5 bowlers are to be selected

No of selections=${ }^4{C}_2\times { }^6{C}_5=6\times 6=36$