combination
In how many ways can 11 players be chosen out of batch of 15 players?
15C11 = 1365
how many of these will
a)include 1 particular player
We can include the 1 particular player 1 way.
Having chosen that particular player in that 1 way, we
can choose the other 10 out of the remaining 14 players.
Answer 1*14C10 = 1001 ways
b)exclude 1 particular player
We can do that either of two ways:
1. Choose all 11 from the 14 players other than the particular player.
Answer: 14C11 = 364
2. Subtract the total number of ways of including him/her from the
total number of ways of selecting any 11. Those have already
been calculated.
Answer: 1365-1001 = 364
Edwin