Permutation and Combination – Page 12

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…

you-randomly-select-a-5-digit-number-what-s-the-probability-that-this-number-has-exactly-3-different-digits-

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Question Number 188551 by mr W last updated on 03/Mar/23 $y o u r a n d o m l y s e l e c t a 5 d i g i t n u m b e r .$ ${w h a t}^{'} s t h e p r o b a b i l i t y t h a t t h i s n u m b e r$ $h a s e x a c t l y 3 d i f f e r e n t d i g i t s ?$ Answered by mr W last updated on 03/Mar/23…

Question-57363

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Question Number 57363 by Tawa1 last updated on 03/Apr/19 Commented by Tawa1 last updated on 03/Apr/19 $Please help . my problem is from \frac{2^{m} . m (m + 1) (m + 2) \dots . (2 m - 1)}{1.3.5 . \dots \dots . (2 m - 1)}$ $now why did they multiply Numerator and denominator by$ $(m - 1)! . 2 m to get \dots$ $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{2}^{\mathrm{m}} \:.\:\mathrm{m}\left(\mathrm{m}\:+\:\mathrm{1}\right)\left(\mathrm{m}\:+\:\mathrm{2}\right)\:….\:\left(\mathrm{2m}\:−\:\mathrm{1}\right)\:×\:\left(\mathrm{m}\:−\:\mathrm{1}\right)!.\:\mathrm{2m}}{\left[\mathrm{1}.\mathrm{3}.\mathrm{5}.\:…….\:\left(\mathrm{2m}\:−\:\mathrm{1}\right)\right]\:…….\:.\:\left(\mathrm{m}\:−\:\mathrm{1}\right)!\:.\:\mathrm{2m}\:}…

Category: Permutation and Combination