Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts AV 2♥ 3 4 5 60 70 8V 9V 10 JV Red Diamonds A 2 3 4 5● 60 70 8 9• 10 JO Q KO Black Spades A 24 34 44 54 64 74 84 94 104 JA Q4 K4 Black Clubs A 2 3 4 54 64 7 84 94 104 JA Q K Suppose one card is drawn at random from a star dard deck. (a) Find the odds against drawing a four. 0:0 O to O (b) Find the odds in favor of drawing a red face card.
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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