A standard 52-card deck contains four jacks, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spades (all black), and thirteen clubs (all black). Of the 752,538,150 different eight-card hands possible, decide how many would consist of the following. (a) all clubs (b) all black cards (c) all jacks (a) There are ways to have a hand with all clubs (Simplify your answer.) (b) There are ways to have a hand with all black cards (Simplify your answer.) (c) There are Nways to have a hand with all jacks. (Simplify your ahswer.) es ools (1,1) More Enter your answer in each of the answer boxes
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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