A truck contains 6 blue balloons, 6 red balloons and 8 green balloons. In how many ways can 6 balloons escape from the truck, so that: Do not simplify your answers. Leave in Combinatorics format. a) at least 4 red balloons escape? b) at most two blue balloons escape? c) no green balloons escape? d) the balloons that escape are all the same color?
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 truck contains 6 blue balloons, 6 red balloons and 8 green balloons. In how many ways can 6 balloons escape from the truck, so that:
Do not simplify your answers. Leave in Combinatorics format.
a) at least 4 red balloons escape?
b) at most two blue balloons escape?
c) no green balloons escape?
d) the balloons that escape are all the same color?
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