Permutation and Combination – Page 25

How-many-5-digit-numbers-with-different-digits-are-multiple-of-9-

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Question Number 178395 by mr W last updated on 16/Oct/22 $H o w m a n y 5 d i g i t n u m b e r s w i t h$ $d i f f e r e n t d i g i t s a r e m u l t i p l e o f 9 ?$ Answered by cortano1 last updated on 16/Oct/22 $(1) 1 + 5 + 6 + 7 + 8 \Rightarrow 5!$ $$\left(\mathrm{2}\right)\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}+\mathrm{8}\Rightarrow\mathrm{5}!…

There-are-2016-straight-lines-drawn-on-a-board-such-that-1-2-of-the-lines-are-parallel-to-one-another-3-8-of-them-meet-at-a-point-and-each-of-the-remaining-ones-intersect-with-all-other-lines-on-

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Question Number 112812 by Aina Samuel Temidayo last updated on 09/Sep/20 $There are 2016 straight lines drawn on$ $a board such that \frac{1}{2} of the lines are$ $parallel to one another . \frac{3}{8} of them$ $meet at a point and each of the$ $remaining ones intersect with all$ $other lines on the board . Determine$ $$\mathrm{the}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{intersections} \…

Question-178173

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Question Number 178173 by cortano1 last updated on 13/Oct/22 Answered by Acem last updated on 13/Oct/22 $N o . 1, {N u m W r d s}_{5 ℓ s} = P_{21}^{3} \times P_{5}^{2} = 159 600 w o r d s$ $$ \…

Question-112538

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Question Number 112538 by Aina Samuel Temidayo last updated on 08/Sep/20 Answered by floor(10²Eta[1]) last updated on 08/Sep/20 $= \log_{n} 2 + {2 \log}_{n} 2 + {3 \log}_{n} 2 + \dots + {2015 \log}_{n} 2$ $$=\mathrm{log}_{\mathrm{n}}…

What-is-the-maximum-number-of-points-to-be-distributed-within-a-3-6-to-ensure-that-there-are-no-two-points-whose-distance-apart-is-less-than-2-

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Question Number 112534 by Aina Samuel Temidayo last updated on 08/Sep/20 $What is the maximum number$ $of points to be distributed within$ $a 3 \times 6 to ensure that there are no two$ $points whose distance apart is less$ $than \sqrt{2} ?$ Commented by Aina…

Find-the-minimum-number-of-n-integers-to-be-selected-from-S-1-2-3-11-so-that-the-difference-of-two-of-the-n-integers-is-7-

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Question Number 112533 by Aina Samuel Temidayo last updated on 08/Sep/20 $Find the minimum number of n$ $integers to be selected from$ $S = {1, 2, 3, \dots 11} so that the difference$ $of two of the n integers is 7 .$ Commented by Aina Samuel Temidayo…

A-rectangular-cardboard-is-8cm-long-and-6cm-wide-What-is-the-least-number-of-beads-you-can-arrange-on-the-board-such-that-there-are-at-least-two-of-the-beads-that-are-less-than-10-cm-apart-

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Question Number 112531 by Aina Samuel Temidayo last updated on 08/Sep/20 $A rectangular cardboard is 8 cm long$ $and 6 cm wide . What is the least$ $number of beads you can arrange on$ $the board such that there are at least$ $two of the beads that are less than$ $\sqrt{10} cm apart .$ Commented…

n-1-11-1-n-1-4n-2-4n-n-1-please-help-

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Question Number 112195 by 675480065 last updated on 06/Sep/20 $\underset{n = 1}{\sum^{11}} \frac{{(- 1)}^{n + 1} (4 n + 2)}{4 n (n + 1)}$ $please help$ Answered by MJS_new last updated on 06/Sep/20 $$\mathrm{simply}\:\mathrm{calculate}\:\mathrm{it}!\:\mathrm{it}'\mathrm{s}\:\mathrm{only}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{11}…

Question-177597

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Question Number 177597 by cortano1 last updated on 07/Oct/22 Answered by mr W last updated on 07/Oct/22 $m e t h o d 1 : w i t h o u t u s i n g f o r m u l a$ $1 \times 1 \times C_{3}^{6} \times 2^{3}$ $$+\left[\mathrm{1}×\left(−\mathrm{1}\right)+\mathrm{3}×\mathrm{1}\right]×{C}_{\mathrm{2}} ^{\mathrm{6}}…

Question-111937

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Question Number 111937 by bemath last updated on 05/Sep/20 Answered by bobhans last updated on 05/Sep/20 $let the first five question is number :$ $1; 2; 3; 4; 5$ $$\mathrm{case}\left(\mathrm{1}\right)\:\Rightarrow\:\mathrm{C}\:_{\mathrm{4}} ^{\mathrm{5}} \:×\:\mathrm{C}\:_{\mathrm{4}} ^{\mathrm{5}} \:=\:\mathrm{25}\:…

Category: Permutation and Combination