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if the sides of the triangle is determined by throwing a triplet of dice then the number of different triangles with all the distinct sides is?? ...
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\hspace{-16}$If $\bf{a_{1}+a_{2}.2!+a_{3}.3!+......+a_{n}.n!=695}$. Then $\bf{a_{4}=}$\\\\ If $\bf{0\leq a_{k}\leq k}$ and $\bf{n!=n.(n-1).(n-2)........3.2.1}$ ...
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how many 4digit numbers are there whose sum of the digits is odd? ...
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\hspace{-16}$Find no. of Integer Solution $\mathbf{(x,y,z)}$ of the equation\\\\ $\mathbf{x^4+y^4+z^4-2x^2y^2-2y^2z^2-2z^2x^2=24}$ No solution. ...
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What to do and what not to do in the last month before IIT-JEE http://www.youtube.com/watch?v=Z5-AfiJxjOc&context=C4acfebbADvjVQa1PpcFMQX-FKsRHXxJDA7RTt_k4sN1NL6Iapsuo= ...
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What to do and what not to do in the last month before IIT-JEE http://www.youtube.com/watch?v=Z5-AfiJxjOc&context=C4acfebbADvjVQa1PpcFMQX-FKsRHXxJDA7RTt_k4sN1NL6Iapsuo= ...
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\hspace{-16}$Find all Integer pairs $\mathbf{(n,r)}$ for which $\mathbf{\binom{n}{r}=120}$ ...
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Q) prove that the img. roots of a quadratic eqn. 'ax2 + bx + c = 0' always occur in conjugate pairs. where a,b,c E R ...
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\hspace{-16}(1)\;\; $If $\mathbf{19!=1216451\underline{a}0408832000}$. Then $\mathbf{a=}$\\\\ (2)\;\; If $\mathbf{34!=95232799\underline{c}\;\underline{d}96041408476186096435\underline{a}\;\underline{b}000000}$\\\\ Then $\mat ...
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\hspace{-16}(1)\;\; $If $\mathbf{19!=1216451\underline{a}0408832000}$. Then $\mathbf{a=}$\\\\ (2)\;\; If $\mathbf{34!=95232799\underline{c}\;\underline{d}96041408476186096435\underline{a}\;\underline{b}000000}$\\\\ Then $\mat ...
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\hspace{-16}$Determine $\mathbf{\mathbb{R}}$eal value of $\mathbf{x}$ in $\mathbf{1+[x]=[nx]}$\\\\ Where $\mathbf{[x]=}$ Greatest Integer function and $\mathbf{n\in\mathbb{N}}$ ...
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a gas is contained in a metallic container fited with a piston. the piston is suddenly moved in to compress the gas and is maintained at this positon. as time passes the pressure of the gas in the cylinder : 1) increases 2) d ...
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6x + 8y = 48 intersects the coordinate axis at A and B respectively. a line L bisects the area and the perimeter of the triangle AOB. where O is the origin. the number of such lines possible is - (a) 1 (b) 2 (c) 3 (d) more th ...
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\sum_{0\le i}\sum_{<j\le n} \left(\frac{i}{\binom {n}{i}} + \frac{j}{\binom {n}{j}} \right) = \frac{n^2}{2} \cdot \sum_{r=0}^{n}\frac{1}{\binom{n}{r}} ...
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6x + 8y = 48 intersects the coordinate axis at A and B respectively. a line L bisects the area and the perimeter of the triangle AOB. where O is the origin. the number of such lines possible is - (a) 1 (b) 2 (c) 3 (d) more th ...
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1) Show that [5x]+ [5y] is greater than or equal to [3x+y] + [3y+x] where x,y greater than or equal to 0.. ...
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given for angles A1,A2,A3 ΣcosA = ΣsinA = 0 prove that 1)Σcos2A = Σsin2A = 0 2)Σcos2A = Σsin2A = 3/2 ...
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find the first non-zero digit in 80!? ...
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1) Find the last digit of ((5!+9)(6!+4))100! How do we do these types of sums? i think we can't do this by taking modulo 10... ...
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1)Number of ways 10 persons can take seats in a row of 24 fixed seats so that no two persons take consecutive seats is 2)C02 + C12 + C22 + .... + Cn2 = 3)C1+4.C2 + 7.C3 + ... + (3n-2).Cn = 4)Number of integral terms in the ex ...
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Find the coeff. of x15 in the expansion of (1 - x)(1 - 2x)(1 - 22x).............(1 - 215x). Please help me its urgent. ...
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Find the coeff. of x15 in the expansion of (1 - x)(1 - 2x)(1 - 22x).............(1 - 215x). Please help me its urgent. ...
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1)Number of ways 10 persons can take seats in a row of 24 fixed seats so that no two persons take consecutive seats is 2)C02 + C12 + C22 + .... + Cn2 = 3)C1+4.C2 + 7.C3 + ... + (3n-2).Cn = 4)Number of integral terms in the ex ...
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Find the coeff. of x15 in the expansion of (1 - x)(1 - 2x)(1 - 22x).............(1 - 215x). Please help me its urgent. ...
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Find the coeff. of x15 in the expansion of (1 - x)(1 - 2x)(1 - 22x).............(1 - 215x). Please help me its urgent. ...
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Find the coeff. of x15 in the expansion of (1 - x)(1 - 2x)(1 - 22x).............(1 - 215x). Please help me its urgent. ...
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Find the coeff. of x15 in the expansion of (1 - x)(1 - 2x)(1 - 22x).............(1 - 215x). Please help me its urgent. ...
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Find the coeff. of x15 in the expansion of (1 - x)(1 - 2x)(1 - 22x).............(1 - 215x). Please help me its urgent. ...
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1)Number of ways 10 persons can take seats in a row of 24 fixed seats so that no two persons take consecutive seats is 2)C02 + C12 + C22 + .... + Cn2 = 3)C1+4.C2 + 7.C3 + ... + (3n-2).Cn = 4)Number of integral terms in the ex ...
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\hspace{-16}$Find the smallest positive Integer $\mathbf{n}$ such that \\\\ $\mathbf{\sqrt{n}-\sqrt{n-1}<0.01}$ ...
