Permutation and Combination – Page 57

Question-73847

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Question Number 73847 by mr W last updated on 16/Nov/19 Commented by mr W last updated on 16/Nov/19 $r e p o s t o f a n o l d q u e s t i o n w h i c h i s$ $a l r e a d y d e l e t e d .$ Commented by…

Question-139352

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Question Number 139352 by 676597498 last updated on 26/Apr/21 Commented by 676597498 last updated on 26/Apr/21 $p l s M r . W . . h e l p y o u b r o$ Terms of…

Find-the-coefficient-of-x-50-in-the-expression-1-x-1000-2x-1-x-999-3x-2-1-x-998-1001x-1000-

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Question Number 139332 by bemath last updated on 26/Apr/21 $Find the coefficient of x^{50} in$ $the expression {(1 + x)}^{1000} + 2 x {(1 + x)}^{999} +$ ${3 x}^{2} {(1 + x)}^{998} + \dots + {1001 x}^{1000}$ Answered by mr W…

1-1-x-n-n-0-n-1-x-n-2-x-2-n-3-x-3-

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Question Number 139286 by qaz last updated on 25/Apr/21 $\frac{1}{{(1 - x)}^{n}} = ((\begin{matrix} n \\ 0 \end{matrix})) + ((\begin{matrix} n \\ 1 \end{matrix})) x + ((\begin{matrix} n \\ 2 \end{matrix})) x^{2} + ((\begin{matrix} n \\ 3 \end{matrix})) x^{3} + \dots$ Commented by mr W last updated on 25/Apr/21 $${wrong}! \…

find-coefficient-of-x-r-in-the-expension-of-2x-6y-8-

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Question Number 73628 by Waseem Yaqoob last updated on 14/Nov/19 $f i n d c o e f f i c i e n t o f x^{r} i n t h e e x p e n s i o n o f$ ${(2 x - 6 y)}^{- 8}$ Answered by mr W last updated on 14/Nov/19 $$\left(\mathrm{2}{x}−\mathrm{6}{y}\right)^{−\mathrm{8}}…

Question-73346

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Question Number 73346 by TawaTawa last updated on 10/Nov/19 Commented by mathmax by abdo last updated on 10/Nov/19 $$\left.{a}\right)\:\sum_{{k}=\mathrm{0}} ^{{n}} \left(\mathrm{2}+\mathrm{3}{k}\right)^{\mathrm{2}} \:=\mathrm{4}+\sum_{{k}=\mathrm{1}} ^{{n}} \left(\mathrm{4}+\mathrm{12}{k}\:+\mathrm{9}{k}^{\mathrm{2}} \right)…

find-the-coefficient-a-k-of-term-x-k-in-r-1-n-1-x-r-with-0-k-n-n-1-2-example-n-100-k-50-

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Question Number 73224 by mr W last updated on 09/Nov/19 $f i n d t h e c o e f f i c i e n t a_{k} o f t e r m x^{k} i n$ $\underset{r = 1}{\prod^{n}} (1 + x^{r}) w i t h 0 ⩽ k ⩽ \frac{n (n + 1)}{2}$ $e x a m p l e : n = 100, k = 50$ Answered…

A-committee-of-3-members-is-to-be-formed-from-8-members-Find-the-number-of-committees-that-can-be-formed-if-two-particular-club-members-cannot-both-be-in-a-committee-

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Question Number 138748 by physicstutes last updated on 17/Apr/21 $A committee of 3 members is to be formed from 8 members .$ $Find the number of committees that can be formed if two particular$ $club members cannot both be in a committee$ Answered by mr W last updated on 17/Apr/21 $${C}_{\mathrm{3}}…

Question-73188

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Question Number 73188 by TawaTawa last updated on 07/Nov/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Determine-the-term-independent-of-x-in-the-expansion-x-1-x-2-3-x-1-3-1-x-1-x-x-1-2-10-

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Question Number 137943 by john_santu last updated on 08/Apr/21 $D e t e r m i n e t h e t e r m i n d e p e n d e n t$ $o f x i n t h e e x p a n s i o n$ ${(\frac{x + 1}{x^{2 / 3} - x^{1 / 3} + 1} - \frac{x - 1}{x - x^{1 / 2}})}^{10} .$ Answered by EDWIN88 last updated…

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