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

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

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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE -1.5 VERY SHORT ANSWER QUESTIONS
  1. If 10. ""^(n)C(2)=3. ""^(n+1)C(3) find n.

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  2. If ""^(n)C(4)=""^(n)C(6), find n.

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

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  4. If ""^(n)C(21)=""^(n)C(28), then find ""^(50)C(n)

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

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  6. Find the value of ""^(10)C(5)+2. ""^(10)C(4)+""^(10)C(3).

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  7. Simplify ""^(34)C(5)+ overset(4) underset(r=0)Sigma ""^((38-r))C(4).

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  8. If ""^(n)P(r)=5040 and ""^(n)C(r)=210, find n and r.

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