Lottery tickets

Robert S. Wilson

 

This table shows how many possible lottery tickets there are which have the following number of winning numbers.

 

Number of matching numbers

Computation

Number of tickets

6

C(6,6)xC(45,0)

1 x 1

1

5

C(6,5)xC(45,1)

6 x 45

270

4

C(6,4)xC(45,2)

15 x 990

14,850

3

C(6,3)xC(45,3)

20 x 14,190

283,800

2

C(6,2)xC(45,4)

15 x 148,995

2,234,925

1

C(6,1)xC(45,5)

6 x 1,221,759

7,330,554

0

C(6,0)xC(45,6)

1 x 8,145,060

8,145,060

Totals

C(51,6)

18,009,460

 

This material is covered in Math 131 and Math 300

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