Maths question...

Soldato
Joined
8 Jun 2005
Posts
5,275
If the answer to a question is yes or no and you ask 25 people. How many combinations of answers are possible?

Thanks,

G
 
I mean like it could be:

1: YES
2: YES
3: YES
4: NO
5: NO
6: YES
7: YES
8: YES
9: YES
10: YES
11: YES
12: YES
13: YES
14: YES
16: YES
17: YES
18: YES
19: NO
20: YES
21: YES
22: YES
23: YES
24: NO
25: YES

So that's one combination... but then it could be:

1: YES
2: YES
3: YES
4: NO
5: NO
6: YES
7: YES
8: YES
9: YES
10: YES
11: YES
12: YES
13: YES
14: YES
16: YES
17: YES
18: YES
19: NO
20: YES
21: YES
22: YES
23: YES
24: NO
25: NO

Which is another combination.... so there are how many possible different combinations.... I figured it was 25 to the power of 2 which is 625, but then I thought actually it would be 2 to the power of 25 which is 33554432 so it must be that. As in you could write the list 33,554,432 different ways without repeating the same list twice.
 
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