2005 iTest Problems/Problem 51
(Redirected from 2005 iTest Problems/Problem TB3)
Problem
Find the probability that any given row in Pascal’s Triangle contains a perfect square.
Solution 1
Claim: Every row in Pascal's triangle contains a perfect square.
Proof: Since for any 
, 
, which is a perfect square, every row in Pascal's triangle must contain a perfect square.
Since every row in Pascal's triangle contains a perfect square, the desired probability is equal to 
.
See Also
| 2005 iTest (Problems, Answer Key) | ||
| Preceded by: Problem 50 |
Followed by: Problem 52 | |
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