An animal shelter reported that it currently has 36 dogs and 24 cats available for adoption; 18 of the dogs and 8 of the cats are male. Are the species and sex of the animals independent? Explain. Select the correct choice below and fill in the answer boxes within your choice. (Type integers or simplified fractions.) O A. No, because of the dogs are male and of the cats are male. O B. Yes, because of the dogs are male and of the cats are male.
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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