10 Darrin is putting together gift bags. The selections of gifts he can include are shown in the table. Gift Bags Stickers Key Chain Candy Gift Card 4 8 22 Game 14 Part A Select all the possible combinations of gifts that Darrin might put in each bag. A gift card, game D game, candy B gift card, key chain E game, stickers © stickers, key chain ® candy, stickers Part B What is the experimental probability that he makes a gift bag with a game and key chain, P(game, key chain)? 5
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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