Nina is making 5 pans of fudge to serve after a music recital. For each pan, she needs 2/3 cup of condensed milk. (a) How much condensed milk will Nina need? (Enter your answer as a simplified mixed number.) (b) Measuring cups usually come in sets of 1/4, 1/3, 1/2, and 1 cup. What are ways that Nina could measure the condensed milk needed for 5 pans of fudge? (Select all that apply.) (a) Nina could use nine 1/4 cup measures and one 1/3 cup measure. (b) Nina could use six 1 cup measures and two 1/3 cup measures. (c) Nina could use three 1/2 cup measures and three 1/3 cup measures. (d) Nina could use three 1 cup measures and one 1/3 cup measure. (e) Nina could use six 1/2 cup measures and one 1/3 cup measure

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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.