In a club with 10 male and 13 female members, how many 7 members committees can be chosen that have : Does the problem involve permutations or combinations? _ Permutations _ Combinations a, There can be ___ all-male committees b, There can be ___ all-female committees c, There can be ___ 7 member committees with 4 men and 3 women
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.
In a club with 10 male and 13 female members, how many 7 members committees can be chosen that have :
Does the problem involve permutations or combinations?
_ Permutations
_ Combinations
a, There can be ___ all-male committees
b, There can be ___ all-female committees
c, There can be ___ 7 member committees with 4 men and 3 women
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