If ""^(9)C(3)+""^(9)C(5)=""^(10)C(r) the...

If `""^(9)C_(3)+""^(9)C_(5)=""^(10)C_(r)` then find r.

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I : IF ""^(12)C_(r+1) ="" ^(12) C_(3r-5) then r=3 or 4 . II : If ""^(9) C_(3) +""^(9)C_(5) = ""^(10)C_(r) then r=4 or 6.

If ""^(12)C_(r+1)=""^(12)C_(3r-5), find r.

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""^(n) C_(r+1)+2""^(n)C_(r) +""^(n)C_(r-1)=

If ""^(n)C_(r)=""^(n)C_(r-1) and ""^(n)P_(r+1) = 9 .""^(n)P_(r) then (n,r)=

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