Permutation and Combination – Page 56

Out-of-5-accountants-and-7-bankers-a-committee-consisting-of-2-accountants-and-3-bankers-is-to-be-formed-In-how-many-ways-can-this-be-done-if-a-Any-acountant-and-any-bankers-must-be-included-b-

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Question Number 11384 by tawa last updated on 22/Mar/17 $Out of 5 accountants and 7 bankers, a committee consisting of$ $2 accountants and 3 bankers is to be formed . In how many ways can this$ $be done if$ $(a) Any acountant and any bankers must be included$ $(b) One particular banker must be included$ $(c) 2 accountant cannot be in the committee$ Answered by sandy_suhendra…

In-how-many-ways-can-24-different-articles-be-divided-into-groups-of-12-8-and-4-articles-respectively-

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Question Number 11382 by tawa last updated on 22/Mar/17 $In how many ways can 24 different articles be divided into groups of$ $12, 8 and 4 articles respectively$ Commented by sandy_suhendra last updated on 23/Mar/17 $24 C 12 \times 12 C 8 \times 4 C 4$ Commented…

Question-142305

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Question Number 142305 by anonymo last updated on 29/May/21 Answered by Olaf_Thorendsen last updated on 01/Jun/21 ${(1 + i)}^{80} = \underset{p = 0}{\sum^{80}} C_{p}^{80} i^{p}$ $$\left(\mathrm{1}+{i}\right)^{\mathrm{80}} \:=\:\underset{{k}=\mathrm{0}}…

A-pack-of-52-cards-distributed-equally-to-4-people-so-as-4-cards-each-from-same-suit-of-any-3-suit-4-3-12-and-last-card-from-4th-remaining-suit-Number-of-such-distributions-is-

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Question Number 141777 by SLVR last updated on 23/May/21 $A p a c k o f 52 c a r d s d i s t r i b u t e d e q u a l l y t o$ $4 p e o p l e s o a s 4 c a r d s e a c h f r o m$ $s a m e s u i t (o f a n y 3 s u i t = 4 \times 3 = 12)$ $a n d l a s t c a r d f r o m 4 t h r e m a i n i n g$ $s u i t . N u m b e r o f s u c h$ $d i s t r i b u t i o n s i s ?$ $$ \…

Find-all-the-arraangment-of-all-the-letters-of-the-word-SYLLABUSES-such-that-each-word-contains-the-word-BUS-

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Question Number 141435 by physicstutes last updated on 18/May/21 $Find all the arraangment of all the letters$ $of the word SYLLABUSES such that$ $each word contains the word BUS .$ Answered by mr W last updated on 19/May/21 $$\mathrm{SYLLABUSES}…

The-first-3-runners-in-100m-race-were-clocked-9-5s-10s-10-5s-respectively-How-far-is-the-first-from-the-third-runners-when-the-first-runner-reached-the-finished-line-

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Question Number 10029 by Tawakalitu ayo mi last updated on 21/Jan/17 $The first 3 runners in 100 m race were clocked$ $9 . 5 s, 10 s, 10 . 5 s respectively . How far is the$ $first from the third runners when the first$ $runner reached the finished line .$ Commented by mrW1 last updated…

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

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Question Number 9747 by tawakalitu last updated on 30/Dec/16 $Find the coefficient of the term independent$ $of x in the expansion of$ ${(\frac{x + 1}{x^{2 / 3} - x^{1 / 3} + 1} - \frac{x - 1}{x - x^{1 / 2}})}^{10}$ Answered by sandy_suhendra last updated on…

There-are-6-girls-and-four-boys-in-a-class-3-students-are-choosen-at-random-so-as-to-be-awarded-a-scholaship-In-how-many-ways-can-this-be-done-if-atlease-1-boy-and-1-girl-must-in-the-selection-

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Question Number 75180 by Rio Michael last updated on 08/Dec/19 $T h e r e a r e 6 g i r l s a n d f o u r b o y s i n a c l a s s .$ $3 s t u d e n t s a r e c h o o s e n a t r a n d o m s o a s t o b e$ $a w a r d e d a s c h o l a s h i p . I n h o w m a n y w a y s c a n$ $t h i s b e d o n e i f a t l e a s e 1 b o y a n d 1 g i r l m u s t$ $i n t h e s e l e c t i o n$ Commented by…

Question-75122

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Question Number 75122 by chess1 last updated on 07/Dec/19 Commented by JDamian last updated on 07/Dec/19 $O p e n t h i s a p p, t a p o n Study > Sequence$ $and Series a n d l o o k f o r Sum to the n terms$ $of a G . P .$ Commented by…

If-n-is-positive-integer-prove-that-the-cofficient-of-x-2-and-x-3-in-the-expansion-of-x-2-2x-2-n-are-2-n-1-n-2-and-2-n-1-n-n-1-1-3-

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Question Number 9573 by lepan last updated on 17/Dec/16 $I f n i s p o s i t i v e i n t e g e r p r o v e t h a t$ $t h e c o f f i c i e n t o f x^{2} a n d x^{3} i n t h e$ $e x p a n s i o n o f {(x^{2} + 2 x + 2)}^{n} a r e 2^{n - 1} . n^{2}$ $a n d 2^{n - 1} n (n - 1) \frac{1}{3} .$ Commented…

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