Doubt in Questions/Answer

In how many ways can a cricket team be selected from a group of 25 players containing 10 batsmen, 8 bowlers, 5 all-rounders and 2 wicket keepers? Assume that the team of 11 players requires 5 batsmen, 3 all-rounders, 2 bowlers and 1 wicket keeper?


My question is, here in above image, why we not divide it by 25C11 ?

This is due to their being different players with different capabilities like bowlers batsmen so they are be arranged in multiple ways. As we can arrange the same 5 batsmen in different order or select totally different batsmen from the 10 for the playing eleven

Now, to find the total number of ways to form the team, you multiply these individual combinations