[practice] mathematics in lottery

In recent years “ Lottery hurricane ” Sweeping across China , Huge temptations have made more and more people join “ lottery buyer ” The ranks of the , At present, the popular lottery tickets mainly include “ Traditional type ” and “ lotto ” Two types of .

“ Traditional type ” use “10 choose 6+1” programme ： First from 6 Group 0~9 Shake out of the No. 1 ball 6 Basic numbers , Shake one in each group , And then from 0~4 Shake a special number in the number ball , Constitute the winning number . Punters from 0~9 Choose from ten numbers 6 Basic numbers （ repeatable ）, from 0~4 Choose a special number , Constitute a note , Determine the winning grade according to the number and order of the single note number and the winning number . Take the winning number “abcdef+g” Take as an example to illustrate the winning grade , As shown in Table 1 （X Indicates an unselected number ）.

 “ lotto ” There are many different forms , such as “33 choose 7” The plan ： First from 01~33 The number balls are rocked out one by one 7 Basic numbers , Then from the rest 26 Shake a special number from a number ball . Punters from 01~33 Choose any number 7 One composition and one note （ Do not repeat ）, Determine the corresponding winning grade according to the number of single note numbers that match the winning numbers , Regardless of number order . And so on “36 choose 6+1” The plan , First from 01~36 The number balls are rocked out one by one 6 Basic numbers , From the rest of 30 Shake a special number from a number ball . from 01~36 individual