a) Fatima invites 14 people to a dinner. There are 9 males and 5 females who are seated at two different tables so that guests of one sex sit at one round table and the guests of the other sex at the second table. (b) Find the number of ways in which all gests are seated. In how many ways can a hockey team of 11 players be selected out of 15 players. How many of them will include a particular player.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
(a) Fatima invites 14 people to a dinner. There are 9 males and 5 females who are seated at two different
tables so that guests of one sex sit at one round table and the guests of the other sex at the second table.
(b) Find the number of ways in which all gests are seated.
In how many ways can a hockey team of 11 players be selected out of 15 players. How many of them
will include a particular player.
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