If `.^(n+1)C_(r+1):^(n)C_(r):^(n-1)C_(r-1)=11:6:3`, find the values of n and r.

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If ^nC_r:^nC_r+1=1: 2 and ^nC_r+1:^nC_r+2=2: 3, find the values of If ^nC_r:^nC_r+1=1: 2 and ^nC_r+1:^nC_r+2=2: 3, find the values of ' n ' and ' r '.
Prove that \( \frac{(n-1) !}{(n-r-1) !}+r \cdot \frac{(n-1) !}{(n-r) !}=\frac{n !}{(n-r) !} \) Prove that \( \frac{(n-1) !}{(n-r-1) !}+r \cdot \frac{(n-1) !}{(n-r) !}=\frac{n !}{(n-r) !} \)
Addition Trick |πŸ¦‹Butterfly Method for addition fraction |Fraction Trick #shorts #fraction #tricks Addition Trick |πŸ¦‹Butterfly Method for addition fraction |Fraction Trick #shorts #fraction #tricks
π‘›πΆπ‘Ÿ+π‘›πΆπ‘Ÿ+1=𝑛+1πΆπ‘Ÿ+1 Proof π‘›πΆπ‘Ÿ+π‘›πΆπ‘Ÿ+1=𝑛+1πΆπ‘Ÿ+1 Proof