Four students are completing a math activity In class. Each student pulls a card from a stack of cards and then compares their card to the other students' cards. The four students then must agree on the order of the cards from greatest to least. 1. Student A's card shows 10 Student B's card shows 12 17 Student C's card shows 150 3 Student D's card shows 20 Which list shows the cards in order from greatest to least? V5 15 17 17 A. 20 10 12 10 12 V5 20 150 20 150 150 V5 20 10 150' 12 3 17 3 17 D. 12 10 B.
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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