Permutation and Combination – Page 36

In-how-many-ways-can-a-committee-of-11-people-be-selected-from-9-people-

Tinku Tara June 4, 2023 Permutation and Combination 0 Comments

Question Number 35165 by NECx last updated on 16/May/18 $I n h o w m a n y w a y s c a n a c o m m i t t e e$ $o f 11 p e o p l e b e s e l e c t e d f r o m 9$ $p e o p l e .$ Commented by Rasheed.Sindhi last updated on 16/May/18 $$\mathrm{How}\:\mathrm{can}\:\mathrm{we}\:\mathrm{select}\:\mathrm{a}\:\mathrm{committee}\:\mathrm{of}\:\mathrm{11} \…

Question-35151

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Question Number 35151 by Victor31926 last updated on 16/May/18 Answered by Rasheed.Sindhi last updated on 16/May/18 $∵ 5 ∣ 5! & 5! ∣ 50!, 40!, 30!, 20!, 10!$ $∴ 5 ∣ 50!, 40!, 30!, 20!, 10!$ $∴ 5 ∣ (50! + 40! + 30! + 20! + 10!)$ $∴ The remainder = 0$ …

A-committee-of-4-is-to-be-formed-from-4-principals-and-5-students-In-how-many-ways-can-this-be-done-if-a-particular-student-and-a-principal-must-be-in-the-committee-

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Question Number 34930 by NECx last updated on 13/May/18 $A c o m m i t t e e o f 4 i s t o b e f o r m e d$ $f r o m 4 p r i n c i p a l s$ $a n d 5 s t u d e n t s . I n h o w m a n y w a y s$ $c a n t h i s b e d o n e i f a p a r t i c u l a r$ $s t u d e n t a n d a p r i n c i p a l m u s t b e$ $i n t h e c o m m i t t e e .$ Commented…

Find-the-number-of-five-digit-numbers-containing-exactly-three-different-digits-Examples-12312-12224-

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Question Number 100444 by mr W last updated on 26/Jun/20 $F i n d t h e n u m b e r o f f i v e - d i g i t n u m b e r s$ $c o n t a i n i n g e x a c t l y t h r e e d i f f e r e n t$ $d i g i t s ? E x a m p l e s : 12312, 12224$ Answered by Rasheed.Sindhi last updated on 28/Jun/20 $$\:^{\bullet}…

show-that-C-n-1-n-r-1-C-r-n-r-1-

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Question Number 34878 by NECx last updated on 12/May/18 $s h o w t h a t$ ${\overset{n + r - 1}{C}}_{n - 1} = {\overset{n + r - 1}{C}}_{r}$ Answered by Rasheed.Sindhi last updated on 12/May/18 $$\:^{\mathrm{n}}…

4-couples-are-to-take-a-photograph-with-a-newly-wedded-couple-in-a-wedding-party-In-how-many-ways-can-this-be-done-if-i-the-celebrated-couple-must-stand-in-the-middle-ii-each-couple-must-stand-next-t

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Question Number 34877 by NECx last updated on 12/May/18 $4 c o u p l e s a r e t o t a k e a p h o t o g r a p h$ $w i t h a n e w l y w e d d e d c o u p l e i n a$ $w e d d i n g p a r t y . I n h o w m a n y w a y s$ $c a n t h i s b e d o n e i f :$ $i) t h e c e l e b r a t e d c o u p l e m u s t s t a n d$ $i n t h e m i d d l e$ $i i) e a c h c o u p l e m u s t s t a n d n e x t t o$ $${each}\:{other} \…

A-certain-wire-has-length-4-5-cm-and-mass-12-3-g-with-an-electrical-resistance-of-1-1-m-this-wire-falls-through-a-horizontal-magnetic-field-with-flux-density-of-0-35-T-As-his-wire-falls-its-ends

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Question Number 99985 by Rio Michael last updated on 24/Jun/20 $A certain wire has length 4.5 cm and mass 12.3 g, with an$ $electrical resistance of 1.1 m Ω . this wire falls through a horizontal$ $magnetic field with flux density of 0.35 T . As his wire falls its ends$ $slide smoothly between two rails connected by a wire with negligible$ $internal resistance . Calculate the magnitude of the terminal energy$ $resistance, neglecting the resistance of the rails .$ Terms of…

Prove-that-n-2-n-n-1-is-always-an-integer-for-n-N-

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Question Number 34410 by Tinkutara last updated on 05/May/18 $P r o v e t h a t \frac{(n^{2})!}{{(n!)}^{n + 1}} i s a l w a y s a n i n t e g e r$ $f o r n \in N .$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-99905

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Question Number 99905 by Rio Michael last updated on 23/Jun/20 Commented by Rio Michael last updated on 23/Jun/20 $P and Q are two identical straight cables each of electrical resistance 20.0 Ω .$ $placed 4.8 cm apart in air .$ $(a) find the current through each cable$ $$\left(\mathrm{b}\right)\:\mathrm{draw}\:\mathrm{the}\:\mathrm{magnetic}\:\mathrm{field}\:\mathrm{pattern}\:\mathrm{in}\:\mathrm{the}\:\mathrm{region}\:\mathrm{between}\:{P}\:\mathrm{and}\:{Q}…

Number-of-ways-n-differrnt-things-be-distributed-in-r-identical-boxes-so-as-1-empty-box-is-allowed-2-empty-box-not-allowed-Number-of-ways-n-identical-things-be-distributed-to-r-identical-boxes-s

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Question Number 165385 by SLVR last updated on 31/Jan/22 $N u m b e r o f w a y s . . n$ $d i f f e r r n t t h i n g s b e d i s t r i b u t e d$ $i n r i d e n t i c a l b o x e s s o a s$ $1) e m p t y b o x i s a l l o w e d$ $2) e m p t y b o x n o t a l l o w e d$ $N u m b e r o f w a y s \dots n i d e n t i c a l$ $t h i n g s b e d i s t r i b u t e d t o r$ $${identical}\:{boxes}\:{so}\:{as} \…

Category: Permutation and Combination