Permutation and Combination – Page 12

Find-the-coefficient-of-x-6-in-2x-1-6-x-2-x-1-4-4-

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Question Number 58373 by Tawa1 last updated on 22/Apr/19 $Find the coefficient of x^{6} in {(2 x + 1)}^{6} {(x^{2} + x + \frac{1}{4})}^{4}$ Commented by maxmathsup by imad last updated on 24/Apr/19 $${we}\:{have}\:\left(\mathrm{2}{x}+\mathrm{1}\right)^{\mathrm{6}}…

Nine-chairs-in-a-row-are-to-be-occupied-by-six-students-and-Prof-George-Prof-Pieter-and-Prof-John-These-three-professors-arrive-before-the-six-students-and-decide-to-choose-their-chairs-so-that-ea

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Question Number 123878 by liberty last updated on 29/Nov/20 $N i n e c h a i r s i n a r o w a r e t o b e o c c u p i e d b y$ $s i x s t u d e n t s a n d P r o f G e o r g e, P r o f P i e t e r,$ $a n d P r o f J o h n . T h e s e t h r e e p r o f e s s o r s a r r i v e$ $b e f o r e t h e s i x s t u d e n t s a n d d e c i d e t o c h o o s e$ $t h e i r c h a i r s s o t h a t e a c h p r o f e s s o r w i l l b e b e t w e e n$ $t w o s t u d e n t s . I n h o w m a n y w a y s c a n P r o f e s s o r G e o r g e$ $, P i e t e r a n d J o h n c h o o s e t h e i r c h a i r s ?$ Answered…

There-are-how-many-ways-to-answer-5-out-of-7-multiple-choice-question-with-5-choices-

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Question Number 123695 by pipin last updated on 27/Nov/20 $There are how many ways to answer$ $5 out of 7 multiple choice question with$ $5 choices ?$ Answered by mr W last updated on 27/Nov/20 $${C}_{\mathrm{5}}…

Question-58049

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Question Number 58049 by Aditya789 last updated on 17/Apr/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-123577

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Question Number 123577 by bramlexs22 last updated on 26/Nov/20 Answered by Olaf last updated on 26/Nov/20 ${\begin{cases} \frac{g}{r + g} = \frac{4}{9} (1) \\ \frac{g + 2}{(r + 4) + (g + 2)} = \frac{10}{23} (2) \end{cases}$ $(1) : r + g = \frac{9}{4} g (3)$ $(2) : \frac{g + 2}{\frac{9}{4} g + 6} = \frac{10}{23}$ $g + 2 = \frac{10}{23} (\frac{9}{4} g + 6)$ $${g}\left(\mathrm{1}−\frac{\mathrm{45}}{\mathrm{46}}\right)\:=\:\frac{\mathrm{60}}{\mathrm{23}}−\mathrm{2}\:=\:\frac{\mathrm{14}}{\mathrm{23}}…

Find-the-number-of-integer-solutions-for-a-b-c-d-18900-with-a-b-c-d-1-

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Question Number 57985 by mr W last updated on 15/Apr/19 $F i n d t h e n u m b e r o f i n t e g e r s o l u t i o n s$ $f o r a \times b \times c \times d = 18900$ $w i t h a, b, c, d ⩾ 1 .$ Answered by tanmay.chaudhury50@gmail.com last updated on 15/Apr/19 $$\mathrm{18900}=\mathrm{3}×\mathrm{3}×\mathrm{3}×\mathrm{7}×\mathrm{2}×\mathrm{2}×\mathrm{5}×\mathrm{5}…

Question-189049

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Question Number 189049 by mr W last updated on 11/Mar/23 Commented by mr W last updated on 13/Mar/23 $t h i s i s a n o l d q u e s t i o n (Q 164560) .$ $m a y b e m e a n w h i l e s o m e b o d y h a s g o t$ $a n e w s o l u t i o n .$ …

How-many-non-similar-triangles-have-integer-angles-in-

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Question Number 189021 by mr W last updated on 10/Mar/23 $H o w m a n y n o n - s i m i l a r t r i a n g l e s$ $h a v e i n t e g e r a n g l e s i n ° ?$ Commented by nikif99 last updated on 11/Mar/23 $N o w I t h i n k t h e r e a r e 2700 s o l u t i o n s$ $${for}\:\measuredangle{A},\:\measuredangle{B},\:\measuredangle{C}\:{integers}\:{degrees}.…

n-men-and-n-women-should-be-arranged-alternately-in-a-row-how-many-ways-can-this-be-done-if-the-same-should-be-done-on-a-table-how-many-ways-then-

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Question Number 57909 by mr W last updated on 14/Apr/19 $n m e n a n d n w o m e n s h o u l d b e a r r a n g e d$ $a l t e r n a t e l y i n a r o w, h o w m a n y w a y s$ $c a n t h i s b e d o n e ? i f t h e s a m e s h o u l d$ $b e d o n e o n a t a b l e, h o w m a n y w a y s t h e n ?$ Answered by tanmay.chaudhury50@gmail.com last updated on…

Solve-for-n-i-n-1-n-C-i-2-i-65-n-Z-where-zero-is-included-

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Question Number 57688 by Tawa1 last updated on 10/Apr/19 $Solve for n : \underset{i}{\sum^{n - 1}} \overset{n}{} C_{i} 2^{i} = 65, n \in Z^{+} . where zero is$ $included$ Commented by tanmay.chaudhury50@gmail.com last updated…

Category: Permutation and Combination