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Find the coefficient of $x$ in the expansion of $(1-3x+7x^2)(1-x)^{16}$

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the expansion of $(3x^2-2ax+3a^2)^3$ using Binomial theorem

asked Jun 24, 2014 by sreemathi.v

1 answer

Find an approximation of $(0.99)^5$ using the first three terms of its expansion.

asked Jun 24, 2014 by sreemathi.v

1 answer

Evaluate $(\sqrt 3+2)^6-(\sqrt 3-\sqrt 2)^6$

asked Jun 24, 2014 by sreemathi.v

1 answer

If $a$ and $b$ are distinct integers,prove that $a-b$ is a factor of $a^n-b^n$,whenever $n$ is a positive integer.

asked Jun 23, 2014 by sreemathi.v

1 answer

Find a positive value of m for which the coefficient of $x^2$ in the expansion of $(1+x)^m$ is $6$

asked Jun 23, 2014 by sreemathi.v

1 answer

In the expansion of $(1+a)^{m+n}$,prove that coefficient of $a^m$ and $a^n$ are equal.

asked Jun 23, 2014 by sreemathi.v

1 answer

Find the $4^{th}$ term in the expansion of $(x-2y)^{12}$

asked Jun 23, 2014 by sreemathi.v

1 answer

Write the general term in the expansion of $(x^2-yx)^{12}$

asked Jun 23, 2014 by sreemathi.v

1 answer

Find the coefficient of $x^5$ in $(x+3)^8$

asked Jun 23, 2014 by sreemathi.v

1 answer

Prove that $\sum\limits_{r=0}^n 3^{r-n}C_r=4^n$

asked Jun 23, 2014 by sreemathi.v

1 answer

Find $(x+1)^6+(x-1)^6$ Hence or otherwise evaluate $(\sqrt 2+1)^6+(\sqrt 2-1)^6$

asked Jun 23, 2014 by sreemathi.v

1 answer

Evaluate $(\sqrt 3+\sqrt 2)^4-(\sqrt 3-\sqrt 2)^4$

asked Jun 23, 2014 by sreemathi.v

1 answer

Find $(a+b)^4-(a-b)^4$.

asked Jun 23, 2014 by sreemathi.v

1 answer

Using the Binomial theorem indicate which number is larger $(1-1)^{10000}$ or 1000

asked Jun 23, 2014 by sreemathi.v

1 answer

Expand the expression:$(99)^5$

asked Jun 23, 2014 by sreemathi.v

1 answer

Expand the expression:$(101)^4$

asked Jun 23, 2014 by sreemathi.v

1 answer

Expand each of the expressions:$(102)^5$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions:$(96)^3$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions:$\big(x+\large\frac{1}{x}\big)^6$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions:$\big(\large\frac{x}{3}+\frac{1}{x}\big)^5$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions:$(2x-3)^6$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions:$\big(\large\frac{2}{x}-\frac{x}{2}\big)^5$

asked Jun 20, 2014 by sreemathi.v

1 answer

Expand each of the expressions:$(1-2x)^5$

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of selecting atleast 4 candidates from 8 candidates is

asked Jun 20, 2014 by sreemathi.v

1 answer

In how many number of ways can 10 students be divided into three teams,one containing four students and the other three?

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of triangles which can be formed by using the vertices of a regular polygon of (n+3) sides is 220.Then n is equal to

asked Jun 20, 2014 by sreemathi.v

1 answer

How many numbers of 6 digits can be formed from the digits of the number 112233?

asked Jun 20, 2014 by sreemathi.v

1 answer

There are 5 letters and 5 different envelopes.The number of ways in which all the letters can be put in wrong envelope is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of natural numbers less than 1000 in which no two digit are repeated is

asked Jun 20, 2014 by sreemathi.v

1 answer

If $nC_{12}=nC_6$ then $nC_2$ is equal to

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of diagonals in a octagon will be

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of ways of distributing 8 identical balls in 3 distinct boxes,so that none of the boxes is empty is

asked Jun 20, 2014 by sreemathi.v

1 answer

How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?

asked Jun 20, 2014 by sreemathi.v

1 answer

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent.

asked Jun 20, 2014 by sreemathi.v

1 answer

There are two urns.Urn A has 3 distinct red balls and urn B has 9 distinct blue balls.From each urn two balls are taken out at random and then transferred to the other.The number of ways in which this can be done is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of different ways of distributing 10 marks among 3 questions,each questions carrying atleast 1 mark,is

asked Jun 20, 2014 by sreemathi.v

1 answer

The number of arrangements of the letters of the word BHARAT taking 3 at a time is

asked Jun 20, 2014 by sreemathi.v

1 answer

Total number of ways in which 15 identical blanks can be distributed among 4 persons so that each of them gets atleast two blankets is equal to

asked Jun 20, 2014 by sreemathi.v

1 answer

From 4 gentlemen and 6 ladies a committee of five is to be be selected.The number of ways in which the committee can be formed.So that gentlemen are in majority is

asked Jun 20, 2014 by sreemathi.v

1 answer

An urn contains 3 red pens,4 green pens and 6 yellow pens.The number of ways of drawing 4 pens from the urn if atleast one red pen is to be included in the draw is (All the pens are different from each other).

asked Jun 20, 2014 by sreemathi.v

1 answer

A class has 30 students .We have to form a team of the students including atleast two students and also excluding atleast two students.The number of ways of forming the team is

asked Jun 20, 2014 by sreemathi.v

1 answer

If $X=\{a,b,c,d\}$ and $Y=\{f,b,d,g\}$,find (iii) $X\cap Y$

asked Jun 19, 2014 by sreemathi.v

1 answer

Show that $\tan({\frac{1}{2}}\sin^{-1}{\frac{3}{4}})=\frac{4-\sqrt 7}{3}$

asked Jun 12, 2014 by balaji.thirumalai

1 answer

If $2\tan^{-1}(\cos x)=\tan^{-1}(2cosecx)$,then show that $x=\Large {\frac{\pi}{4}}$

asked Jun 12, 2014 by balaji.thirumalai

1 answer

If $X=\{a,b,c,d\}$ and $Y=\{f,b,d,g\}$,find (ii) $Y-X$

asked May 28, 2014 by sreemathi.v

1 answer

If $X=\{a,b,c,d\}$ and $Y=\{f,b,d,g\}$,find (i) $X-Y$

asked May 28, 2014 by sreemathi.v

1 answer

If A={3,6,9,12,15,18,21},B={4,8,12,16,20},C={2,4,6,8,10,12,14,16},D={5,10,15,20} (xii) D-C

asked May 27, 2014 by sreemathi.v

1 answer

If A={3,6,9,12,15,18,21},B={4,8,12,16,20},C={2,4,6,8,10,12,14,16},D={5,10,15,20} (xi) C-D

asked May 27, 2014 by sreemathi.v

1 answer

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