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DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1B (COMBINATIONS )
- If ""^(n+1)C(3)=4""^(n)C(2) then n=
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- If ""^(n) C(12) = ""^(n)C(8) then n=
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- IF ""^(15)C(r+3)=""^(15)C(2r-3), then r=
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- If ""^(18)C(r)=""^(18)C(r+2) then ""^(R )C(5)=
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- IF ""^(n)P(r)=840,""^(n)C(r)=35 then n=
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- IF ""^(n) P(r)=720,""^(n)C(r)=120then (n,r)=
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- If ""^(n)P(r)=30240and ""^(n)C(r)=252 then the ordered pair (n,r)...
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- If ""^(n)P(r)=""^(n)P((r+1))and ""^(n)C(r) = ""^(n)C(r-1), then (n,...
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- If ""^(n)C(r)=""^(n)C(r-1) and ""^(n)P(r+1) = 9 .""^(n)P(r) then ...
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- ""^((n+1))C(3)-""^(n-1)C(3)=
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- ""^(2n)C(2)-2""^(n)C(2)=
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- If n and r are integers such that 1 le r le n then n. C (n-1...
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- IF n and r are positive inegers such that r le n then ""^(n) ...
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- If ""^(n)C(r) +""^(n) C(r+1)= ""^((n+1)) C(x) then x=
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- If ""^(15)C(4) +""^((n+5))C(5)=""^(16)C(5) then n=
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- ""^(n) C(r+1)+2""^(n)C(r) +""^(n)C(r-1)=
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- ""^(2n)C(n+1)+2. ""^(2n)C(n) + ""^(2n) C(n-1) =
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- ""^(n) C(r) + 4 . ""^(n) C(r-1) + 6 . ""^(n) C(r-2) + 4. ""^(n)C(r...
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