There are 32 chocolates in a box, all identically shaped. There 11 are filled with nuts, 8 with caramel, and 13 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting 2 nut candies.
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.
Provide an appropriate response. Express your answer as a simplified fraction unless otherwise
noted.
There are 32 chocolates in a box, all identically shaped. There 11 are filled with nuts, 8 with caramel, and 13 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the
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