A bag contains n white and n black balls. Pairs of balls are drawn at random without replacement successively , until the bag is empty. If the number of ways in which each pair consists of one white...

A bag contains n white and n black balls. Pairs of balls are drawn at random without replacement successively , until the bag is empty. If the number of ways in which each pair consists of one white...

If coefficient of pth term of (1+x)^n is p and that of (p+1)th term is q then show that n=p+q+1

It is given that(3-2x)^(3)(1+x)^(n)=a+bx+cx^(2)+...where a, b and c are constant, and n is a positive integer. Express c in terms of n

I need The answer to this question

the usual expand result will be 1048576x4 +... is i'm in the right path?

I know the multinomial expansion, but I am not able to use that to find the distinct terms that will be obtained in this expansion. I know that the powers of x will be of the form P=3b+5c where...

the first three terms in the expension of (1-4x)^5 (1+ax+bx^2) are 1-23x+222x^2,Find the value of each of the constants a and b

I'm so bad at these topics ): I need help with this and some explanation, thanks!

I don't have any idea how to do this! i know how to do binomial theorem but not this. I live in the US and taking Ib sl 2 math as a junior.

solve the limit using the binomial theorem: lim (5x-2)^3+8 / (2x+3)^3 -27 x --> 0

In the polynomial function f(x) =(x-1)(x²−2)(x³−3)....(x¹¹−11) the coefficient of x⁶⁰ is: ?

In the polynomial function f(x) =(x-1)(x²−2)(x³−3)....(x¹¹−11) the coefficient of x⁶⁰ is: ?

Asked for national level exam

need help asap please and thank you

In the binomial expansion (a+x)^n where n>4, the coefficient of x^3 is twice that of x^4. 1) Show that n=2a+3 In the same expression, the coefficient of x^2...

using combinations and why.

I have to approximate 0.99^9, using binomial theorem. I can't figure out how to get it to (1 + x)^9 form.

A natural number, x, is called a power of ten if there exists another natural number, y, such that 10^y = x. Show that the set of powers of ten is countably infinite.

Give an example of a cubic (degree 3) function that is bijective. Explain why it is bijective. Give an example of a cubic (degree 3) function that is not bijective. Explain why it is not bijective...

Find and explain a counter example to show that the following statement is false: If a, b ∈ R\Q then ab ∈ R\Q.

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