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# help

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

May 29, 2019

#1
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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
+123
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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
+108675
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Looks like 126 to me.

May 30, 2019
edited by Melody  May 30, 2019
#4
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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
+4454
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Every number appears Pascals' Triangle at least once, so the answer is a hundred(100).

Jun 5, 2019
edited by tertre  Jun 5, 2019