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What is the smallest three-digit number in Pascal's triangle?

 May 29, 2019
 #1
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+1

 

 

What is the smallest three-digit number in Pascal's triangle? 

 

Maybe I'm not understanding the question, because there's only one three-digit number in Pascal's Triangle. 

The third row, to wit:  1-2-1   That's reading horizontally, of course... it would be a stretch to assume otherwise. 

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 May 29, 2019
 #2
avatar+116 
+4

I agree with the other answer, this question is a tad confusing.

 

If we interpret it as each number being a number instead (weird sentence, I know), 100 would actually be the smallest three-digit number in Pascal's triangle. It is the second number in the 99th row (or 100th, depending on who you ask), or \(\binom{100}{1}\)

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 May 29, 2019
 #3
avatar+102804 
+1

 

Looks like 126 to me.

 

 May 30, 2019
edited by Melody  May 30, 2019
 #4
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+3

1  15  105  455  1365  3003  5005  6435  6435  5005  3003  1365  455  105  15  1  = R 15
Row 15th has 105 as the 3rd combination. But, as Anthrax says, the 2nd combination in the 100th row is 100 and it begins like this:
100  4950  161700  3921225  75287520  1192052400  1 6007560800  18 6087894300  190 2231808400  .........etc,

 May 30, 2019
 #5
avatar+4299 
+1

Every number appears Pascals' Triangle at least once, so the answer is a hundred(100).

 Jun 5, 2019
edited by tertre  Jun 5, 2019

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