Permutation and Combination – Page 32

2n-objects-of-each-of-three-kinds-are-given-to-two-persons-so-that-each-person-gets-3n-objects-Prove-that-this-can-be-done-in-3n-2-3n-1-ways-

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Question Number 170794 by mr W last updated on 30/May/22 $2 n objects of each of three kinds are$ $given to two persons, so that each$ $person gets 3 n objects . Prove that$ $this can be done in 3 n^{2} + 3 n + 1 ways .$ Answered by aleks041103 last updated…

Question-104370

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Question Number 104370 by bemath last updated on 21/Jul/20 Answered by john santu last updated on 21/Jul/20 $△ △$ $= l e t t e r$ $△ = n u m b e r$ $${password}\:=\:\mathrm{4}×\mathrm{4}×\mathrm{1}×\mathrm{6}\:=\:\mathrm{96}\:. \…

Question-104155

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Question Number 104155 by mr W last updated on 19/Jul/20 Commented by mr W last updated on 19/Jul/20 $a n u n s o l v e d o l d q u e s t i o n$ Commented by mr W…

what-is-the-coefficient-x-15-in-the-expansion-of-x-6-1-x-11-

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Question Number 104134 by bemath last updated on 19/Jul/20 $w h a t i s t h e c o e f f i c i e n t x^{15}$ $i n t h e e x p a n s i o n o f x^{6} {(1 - x)}^{11}$ Answered by bobhans last updated on 19/Jul/20 $$''\boldsymbol{{x}}^{\mathrm{6}} \left(\mathrm{1}−\boldsymbol{{x}}\right)^{\mathrm{11}} \:=\:\boldsymbol{{x}}^{\mathrm{6}}…

a-100-cm-long-rod-should-be-divided-into-3-parts-the-length-of-each-part-in-cm-should-be-integer-in-how-many-different-ways-can-this-be-done-

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Question Number 103903 by mr W last updated on 18/Jul/20 $a 100 c m l o n g r o d s h o u l d b e d i v i d e d$ $i n t o 3 p a r t s . t h e l e n g t h o f e a c h p a r t$ $i n c m s h o u l d b e i n t e g e r . i n h o w$ $m a n y d i f f e r e n t w a y s c a n t h i s b e$ $d o n e ?$ Commented by bobhans last…

In-the-expansion-of-1-x-20-if-the-coefficient-of-x-r-is-twice-the-coefficient-of-x-r-1-what-the-value-of-the-coefficient-

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Question Number 103826 by bobhans last updated on 17/Jul/20 $I n t h e e x p a n s i o n o f {(1 + x)}^{20} i f t h e$ $c o e f f i c i e n t o f x^{r} i s t w i c e t h e c o e f f i c i e n t$ $o f x^{r - 1}, w h a t t h e v a l u e o f t h e$ $c o e f f i c i e n t ?$ Answered by bramlex last…

Question-103716

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Question Number 103716 by mr W last updated on 16/Jul/20 Commented by mr W last updated on 16/Jul/20 $a f t e r t h i n k i n g a b o u t i t f o r t w o d a y s,$ $i t h i n k i h a v e f o u n d t h e g e n e r a l$ $s o l u t i o n w h i c h i s s i m p l y$ $$\boldsymbol{{C}}_{\boldsymbol{{m}}}…

The-remainder-of-13-13-when-divided-by-99-is-

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Question Number 169159 by SLVR last updated on 25/Apr/22 $T h e r e m a i n d e r o f$ $13^{13} w h e n$ $d i v i d e d b y 99 i s$ Commented by SLVR last updated on 25/Apr/22 $${kindly}\:{solve}..…

an-integer-n-between-1-and-98-inclusive-is-to-be-chosen-at-random-what-is-the-probability-that-n-n-1-will-be-divisible-by-3-

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Question Number 103606 by bemath last updated on 16/Jul/20 $a n i n t e g e r n b e t w e e n 1 a n d 98,$ $i n c l u s i v e i s t o b e c h o s e n a t$ $r a n d o m . w h a t i s t h e p r o b a b i l i t y$ $t h a t n (n + 1) w i l l b e d i v i s i b l e b y 3$ Commented by bemath last updated on 16/Jul/20…

coefficient-of-x-5-in-expansion-1-x-2-5-1-x-4-equal-to-a-40-b-45-c-50-d-55-e-60-

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Question Number 103513 by bemath last updated on 15/Jul/20 $c o e f f i c i e n t o f x^{5} i n e x p a n s i o n$ ${(1 + x^{2})}^{5} {(1 + x)}^{4} e q u a l t o$ $(a) 40 (b) 45 (c) 50 (d) 55$ $(e) 60$ Answered by OlafThorendsen…

Category: Permutation and Combination