You have downloaded 20 new songs onto your phone as shown in the table. Artist Number of Songs A Tribe Called Red 3 Drake 8 The Weeknd 7 Alessia Cara 2 Assuming order does not matter, if you randomly play 8 from your new list of downloaded songs, what is the probability, without evaluating, that you will hear: a. no A Tribe Called Red songs? b. exactly three Drake songs or exactly four Drake songs? c. two songs from each artist? d. at least one The Weeknd song?
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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