At the culinary arts awards banquet students get to choose 4 mini desserts from the dessert table. their choices include cheesecakes, caramel apple bites, cookie cups, cupcakes, brownies, smores, and tarts.the student can only choose one of each dessert type. how many different dessert plates can be made by a student who selects 4 desserts from the dessert table. A.35 B. 28 C. 840 D. 210
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.
At the culinary arts awards banquet students get to choose 4 mini desserts from the dessert table. their choices include cheesecakes, caramel apple bites, cookie cups, cupcakes, brownies, smores, and tarts.the student can only choose one of each dessert type. how many different dessert plates can be made by a student who selects 4 desserts from the dessert table.
A.35
B. 28
C. 840
D. 210
Trending now
This is a popular solution!
Step by step
Solved in 2 steps