Permutation and Combination – Page 33

100-students-are-standing-in-a-row-4-students-should-be-selected-in-the-way-that-no-two-of-them-are-next-to-each-other-how-many-ways-do-you-have-to-do-this-

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Question Number 103406 by mr W last updated on 16/Jul/20 $100 s t u d e n t s a r e s t a n d i n g i n a r o w .$ $4 s t u d e n t s s h o u l d b e s e l e c t e d i n t h e$ $w a y t h a t n o t w o o f t h e m a r e n e x t t o$ $e a c h o t h e r . h o w m a n y w a y s d o y o u$ $h a v e t o d o t h i s ?$ Commented by bobhans last…

many-words-with-4-letters-can-be-formed-using-letters-from-the-word-TINKUTARA-is-

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Question Number 103367 by bobhans last updated on 14/Jul/20 $m a n y w o r d s w i t h 4 l e t t e r s c a n b e f o r m e d$ $u s i n g l e t t e r s f r o m t h e w o r d$ $T I N K U T A R A i s___$ Answered by mr W last updated on 15/Jul/20 $${we}\:{have}\:{following}\:{letters}:…

There-are-21-students-will-be-trained-with-6-trainers-available-Every-students-is-trained-by-1-coach-and-every-coach-trains-students-with-different-amounts-many-ways-of-grouping-students-who-will-be

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Question Number 103357 by bobhans last updated on 14/Jul/20 $T h e r e a r e 21 s t u d e n t s w i l l b e t r a i n e d$ $w i t h 6 t r a i n e r s a v a i l a b l e . E v e r y s t u d e n t s$ $i s t r a i n e d b y 1 c o a c h a n d e v e r y c o a c h$ $t r a i n s s t u d e n t s w i t h d i f f e r e n t a m o u n t s .$ $m a n y w a y s o f g r o u p i n g s t u d e n t s w h o$ $w i l l b e t r a i n e d a r e \dots .$ $(a) \frac{21!}{6!} (b) 6! . 21! (c) \frac{21!}{2! . 3! . 4! . 5!}$ $$\left({d}\right)\:\mathrm{6}×\mathrm{21}!\:\:\:\:\left({e}\right)\:\frac{\mathrm{21}!}{\mathrm{15}!}×\mathrm{6}! \…

many-positive-five-digit-integers-with-the-first-number-1-and-there-are-three-equal-numbers-a-810-b-720-c-120-d-60-e-20-

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Question Number 103300 by bramlex last updated on 14/Jul/20 $many positive five - digit$ $integers with the first number 1$ $and there are three equal$ $numbers ?$ $(a) 810 (b) 720 (c) 120$ $(d) 60 (e) 20$ Answered by bemath…

from-letters-in-MATEMATIKA-words-formed-by-using-all-the-letters-How-many-words-that-can-be-formed-with-the-five-consonant-are-always-side-by-side-

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Question Number 103294 by bramlex last updated on 14/Jul/20 $from letters in$ $^{'} {MATEMATIKA}^{'} words$ $formed by using all the letters .$ $How many words that can be$ $formed with the five consonant$ $are always side by side$ Answered by bemath…

A-particle-of-mass-5kg-moves-in-a-straight-line-its-displacement-x-metres-after-t-seconds-is-given-by-x-t-3-4t-2-4t-Find-the-magnitude-of-the-impulses-exerted-on-the-particle-when-t-2-

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Question Number 37648 by Rio Mike last updated on 16/Jun/18 $A particle, of mass 5 kg, moves in$ $a straight line its displacement, x$ $metres after t seconds is given by$ $x = t^{3} - 4 t^{2} + 4 t . F ind the magnitude$ $of the impulses exerted on the particle$ $when t = 2 .$ …

How-many-6-digit-numbers-exist-whose-digits-have-exactly-the-sum-13-for-example-120505-is-such-a-number-

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Question Number 102816 by mr W last updated on 11/Jul/20 $H o w m a n y 6 d i g i t n u m b e r s e x i s t$ $w h o s e d i g i t s h a v e e x a c t l y t h e s u m 13 ?$ $f o r e x a m p l e 120505 i s s u c h a n u m b e r .$ Commented by Rasheed.Sindhi last updated on…

There-are-14-boys-and-10-girls-in-a-classroom-The-teacher-wants-to-form-a-team-of-5-students-The-team-must-have-a-least-two-boys-and-two-girls-Find-the-number-of-ways-the-team-can-be-chosen-

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Question Number 102800 by bramlex last updated on 11/Jul/20 $There are 14 boys and 10 girls in$ $a classroom . The teacher wants$ $to form a team of 5 students .$ $The team must have a least two$ $boys and two girls . Find the$ $number of ways the team can be$ $chosen .$ Answered…

t-7-sin-t-7-dt-

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Question Number 168291 by MikeH last updated on 07/Apr/22 $\int t^{7} \sin (t^{7}) d t$ Answered by Engr_Jidda last updated on 07/Apr/22 $${let}\:{t}^{\mathrm{7}} ={x}\:{then}\:{dt}=\mathrm{7}{t}^{\mathrm{6}} {dx} \…

3-men-and-4-women-are-to-sit-on-a-table-Calculate-the-number-of-possible-sitting-arrangements-if-a-they-sit-in-a-row-such-that-the-men-must-not-sit-next-to-each-other-b-they-

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Question Number 167979 by nadovic last updated on 31/Mar/22 $3 men and 4 women are to sit on a$ $table . Calculate the number of$ $possible sitting arrangements if$ $(a) they sit in a row such that the$ $men must not sit next to each$ $other .$ $(b) they sit in circular pattern and$ $$\:\:\:\:\:\:\:\:\mathrm{the}\:\mathrm{clockwise}\:\mathrm{and}\:\mathrm{anticlockwise} \…

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