Would you believe that you can have over sixteen million different combinations of numbers being covered on a single BINGO card. (Or if you don't include Free Space, that number is eight million.) Here's proof. The table below show you how many different combinations there are for the various arrangements of covered and uncovered numbers.
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|
Possible Combinations |
Possible Combinations |
||
|
Numbers Covered |
Numbers Uncovered |
Including Free Space |
Neglecting Free Space |
|
0 |
24 |
1 |
|
|
1 |
23 |
24 |
23 |
|
2 |
22 |
276 |
253 |
|
3 |
21 |
2,024 |
1,771 |
|
4 |
20 |
10,626 |
8,855 |
|
5 |
19 |
42,504 |
33,649 |
|
6 |
18 |
134,596 |
100,947 |
|
7 |
17 |
346,104 |
245,157 |
|
8 |
16 |
735,471 |
490,314 |
|
9 |
15 |
1,307,504 |
817,190 |
|
10 |
14 |
1,961,256 |
1,144,066 |
|
11 |
13 |
2,496,144 |
1,352,078 |
|
12 |
12 |
2,704,156 |
1,352,078 |
|
13 |
11 |
2,496,144 |
1,144,066 |
|
14 |
10 |
1,961,256 |
817,190 |
|
15 |
9 |
1,307,504 |
490,314 |
|
16 |
8 |
735,471 |
245,157 |
|
17 |
7 |
346,104 |
100,947 |
|
18 |
6 |
134,596 |
33,649 |
|
19 |
5 |
42,504 |
8,855 |
|
20 |
4 |
10,626 |
1,771 |
|
21 |
3 |
2,024 |
253 |
|
22 |
2 |
276 |
23 |
|
23 |
1 |
24 |
1 |
|
24 |
0 |
1 |
|
|
Total |
16,777,216 |
8,388,607 |