A standart 52-card deck contains four kings, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spads (all black) , and thirteen clubs (all black). Of the 752,538,150 diffrent eight-card hands possible, decide how many would consit of the following. (a)All diamonds (b)All black cards (c)All kings
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.
A standart 52-card deck contains four kings, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spads (all black) , and thirteen clubs (all black). Of the 752,538,150 diffrent eight-card hands possible, decide how many would consit of the following.
(a)All diamonds
(b)All black cards
(c)All kings
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