The math club has seven members and will choose a team of three to send to a competition. The literature club has five members and will choose a team of two. Bob is a member of both clubs. If Bob is chosen to be on the team from one club, he cannot be chosen for the other team, but it's possible for him to not be chosen for either team. how many different ways are there to choose the two teams?
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.
The math club has seven members and will choose a team of three to send to a competition. The literature club has five members and will choose a team of two. Bob is a member of both clubs. If Bob is chosen to be on the team from one club, he cannot be chosen for the other team, but it's possible for him to not be chosen for either team.
how many different ways are there to choose the two teams?
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