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Last one for today: If eight coins are tossed, in how many

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Manager
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Last one for today: If eight coins are tossed, in how many [#permalink] New post 08 Aug 2003, 00:19
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Last one for today:

If eight coins are tossed, in how many ways can they fall
a) with at most three heads;
b) with at least six heads;
Intern
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 [#permalink] New post 08 Aug 2003, 01:14
Let me try-

a) 8C3+8C2+8C1

b)8C6+8C7+8C8

Or it can't be that easy...
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 [#permalink] New post 08 Aug 2003, 01:36
The first question:

0 heads 8C0=1
1 head 8C1=8
2 heads 8C2=28
3 heads 8C3=56

total 93

the second:
6 heads=8C6=28
7 heads=8C7=8
8 heads=8C8=1

total 37

a sanity check: total outcomes are 2^8=256; the answers seem to be relevant
  [#permalink] 08 Aug 2003, 01:36
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