सिद्ध कीजिए कि - |(1,1,1),(.^(m)C(1),....

सिद्ध कीजिए कि -
`|(1,1,1),(.^(m)C_(1),.^(m+1)C_(1),.^(m+2)C_(1)),(.^(m)C_(2),.^(m+1)C_(2),.^(m+2)C_(2))|=1.`

सिद्ध कीजिए कि - |(1,1,1),(.^(m)C(1),.^(m+1)C(1),.^(m+2)C(1)),(.^(m)...
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Prove that ^m C1^n Cm-^m C2^(2n)Cm+^m C3^(3n)Cm-=(-1)^(m-1)n^mdot
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If m in N and mgeq2 prove that: |1 1 1\ ^m C1\ ^(m+1)C1\ ^(m+2)C1\ ^m...
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If (1+x)^(n) = c(0) + C(1)x+C(2)x^(2)+"….."+X(n)x^(n), m ge 2 C(0) -...
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.^(n)C(0) + .^(n+1)C(1) + .^(n+2)C(2) "……." + .^(n)C(m) is equal to :
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Evaluate |{:(""^(m)C(1),""^(m)C(2),""^(m)C(3)),(""^(n)C(1),""^(n)C(2),...
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The value of the determinant |(1,1,1),(.^(m)C(1),.^(m +1)C(1),.^(m+2)C...
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If m,n,r are positive integers such that r lt m,n, then ""^(m)C(r)+""^...
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सारणिक |(1,1,1),(.^(m)C(1),.^(m+1)C(1),.^(m+2)C(1)),(.^(m)C(2),.^(m+1)...
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