`" The coefficient of "a^(4)b^(3)c^(2)d" in "(a-b+c-d)^(10)" is "k" then "(k)/(100)=`

Find the coefficient of a^(2)b^(3)c^(4)d in the expansion of (a-b-c+d)^(10) .

The coefficient of a^3b^6c in the expansionof (2a-b+c)^10 is (A) 6720 (B) 840 (C) 10 (D) none of these

The coefficient of x^(50) in the expansion sum_(k=0)^(100)""^(100)C_(k)( x-2)^(100-k)3^(k) is also equal to :

Find the coefficient of x^2 y^3 z^4 in the expansion of (ax -by +cx)^9 (b) a^2 b^3 c^4 d in the expansion of (a -b-c +d)^10

If agt0, bgt0, cgt0 and the minimum value of a^2(b+c)+b^2(c+a)+c^2(a+b) is kabc, then k is (A) 1 (B) 3 (C) 6 (D) 4

A wire 100cm long is bent into an arc of a circle with a gap of 2cm at 0°C. On heating to 80°C, the gap is 2.02cm. The linear coefficient of expansion of the material of the wire is (A) 0.0000025/K (B) 0.0000125/K (C) 0.000125/K (D) 0.0125/K

If the four consecutive coefficients in any binomial expansion be a,b,c and d then (A) (a+b)/a,(b+c)/b,(c+d)/c are in H.P. (B) (bc+ad)(b-c)=2(ac^2-b^2d) (C) b/a,c/b,d/c are in A.P. (D) none of these

If a,b,c,d>0 such that a+2b+3c+4d=50, then find themaximum value of ((a^(2)b^(4)c^(3)d)/(16))^((1)/(10))

If (a-2b-3c+4d)(a+2b+3c+4d) = (a+2b-3c-4d)(a-2b+3c-4d) then 2ad =