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Combinatorics

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Number Frequencies in Pascal's Triangle

COMBIN-XE9E4L

Which statements are true about Pascal's Triangle?

Select ALL that apply.

A

Every positive integer occurs at least once in Pascal's Triangle.

B

The only number that occurs exactly once in Pascal's Triangle is 2.

C

The only number that occurs exactly twice in Pascal's Triangle is 3.

D

The only number that occurs infinitely often in Pascal's Triangle is 1.

E

The last row of Pascal's Triangle to consist entirely of odd numbers is $ 1\quad 3\quad 3\quad 1$.