bute 80 identical pencils in a class consisting of 10 boys and 20 girls in such a way that each of the girls gets at least one pencil but we do not insist on the same thing for the boys. In how many ways can we do this? You do not have to compute the numbers. When writing your answer denote "n choose k" by C(n,k) and do not leave spaces between characters.
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.
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