Prove the property for all integers r and n, where 0 r n. 1. nCr

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Prove the property for all integers r and n, where 0 ≤ r ≤ n.
1. nCr = nCn-r
2. nC0 - nC1
3. n+1Cr = nCr + nCr-1
4. The sum of the numbers in the nth row of Pascal's Triangle is 2n.
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