What is the number of combinations of the six numbers on a Mega Millions ticket as well as the probability of winning the Mega Millions based on the below information: 1. The Mega Millions game consists of drawing five numbers from the integers 1,2,3, ...,70 (without replacement). Then a special number, a sixth number, is selected from a new set of numbers 1,2,3,...,25. A winning player must have selected the correct five numbers from the first set and the correct number from the second set. You get one set of six numbers for a $2 bet. What is the probability of winning the Mega Millions game if you make a $2 bet
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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