Permutation and Combination – Page 7

Soit-x-gt-1-On-de-finie-la-suite-p-n-par-p-1-x-et-n-IN-p-n-1-2p-n-2-1-Montrer-que-lim-n-k-1-n-1-1-p-k-x-1-x-1-

Tinku Tara July 20, 2023 Permutation and Combination 0 Comments

Question Number 194960 by Erico last updated on 20/Jul/23 $Soit x > 1 . On d \overset{´}{e f i n i e} la suite (p_{n}) par$ $p_{1} = x et \forall n \in {IN}^{*} p_{n + 1} = {2 p}_{n}^{2} - 1$ $$\mathrm{Montrer}\:\mathrm{que}\:\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}}\:\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\prod}}\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{p}_{\mathrm{k}} }\right)=\sqrt{\frac{{x}+\mathrm{1}}{{x}−\mathrm{1}}}…

Prove-that-n-IN-k-1-2-n-1-1-sin-2-kpi-2-n-1-2-2n-1-2-3-Give-in-terms-of-n-k-1-2-n-1-1-sin-4-kpi-2-n-1-

Tinku Tara July 12, 2023 Permutation and Combination 0 Comments

Question Number 194638 by Erico last updated on 12/Jul/23 $Prove that \forall n \in {IN}^{*}$ $\underset{k = 1}{\sum^{2^{n} - 1}} \frac{1}{{s i n}^{2} (\frac{k π}{2^{n + 1}})} = \frac{2^{2 n + 1} - 2}{3}$ $$\mathrm{Give}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:{n}\:\:\:\underset{{k}=\mathrm{1}} {\overset{\mathrm{2}^{{n}} −\mathrm{1}} {\sum}}\:\frac{\mathrm{1}}{{sin}^{\mathrm{4}} \left(\frac{{k}\pi}{\mathrm{2}^{{n}+\mathrm{1}}…

Question-193864

Tinku Tara June 21, 2023 Permutation and Combination 0 Comments

Question Number 193864 by pascal889 last updated on 21/Jun/23 Answered by MM42 last updated on 21/Jun/23 $\frac{\frac{n!}{(n - 5)!}}{\frac{n!}{4! (n - 4)!}} = 144 \Rightarrow n - 4 = 6 \Rightarrow n = 10 ✓$ Terms of Service Privacy Policy Contact:…

If-log-a-y-1-3-and-log-8-a-x-1-then-show-that-y-2-x-1-

Tinku Tara June 11, 2023 Permutation and Combination 0 Comments

Question Number 193368 by MATHEMATICSAM last updated on 11/Jun/23 $If \log_{a} y = \frac{1}{3} and \log_{8} a = x + 1 then show$ $that y = 2^{x + 1}$ Answered by aba last updated on 11/Jun/23 $$\mathrm{log}_{\mathrm{8}} \mathrm{a}=\mathrm{x}+\mathrm{1}\:\Rightarrow\:\mathrm{ln}\left(\mathrm{a}\right)=\mathrm{3}\left(\mathrm{x}+\mathrm{1}\right)\mathrm{ln}\left(\mathrm{2}\right)\:\Rightarrow\:\mathrm{ln}\left(\mathrm{a}\right)=\mathrm{3ln}\left(\mathrm{2}^{\mathrm{x}+\mathrm{1}}…

Question-65405

Tinku Tara June 4, 2023 Permutation and Combination 0 Comments

Question Number 65405 by KanhAshish last updated on 29/Jul/19 Commented by KanhAshish last updated on 29/Jul/19 $someone please send explanation .$ Terms of Service Privacy Policy Contact:…

There-are-20-persons-at-a-party-Maria-dansed-with-7-boys-Stacy-dansed-with-8-boys-Monia-dansed-with-9-boys-and-Eve-dansed-with-all-the-boys-at-the-party-How-many-girls-are-there-at-the-party-

Tinku Tara June 4, 2023 Permutation and Combination 0 Comments

Question Number 130899 by greg_ed last updated on 30/Jan/21 $There are 20 persons at a party .$ $Maria dansed with 7 boys,$ $Stacy dansed with 8 boys,$ $Monia dansed with 9 boys and$ $Eve dansed with all the boys at the party .$ $How many girls are there at the party ?$ Commented by mr…

Mr-Rahmat-decided-to-create-a-password-with-the-form-numbers-and-letterse-intermittntly-intermittent-can-also-be-letters-and-numbers-intermittently-but-no-nmbers-and-letters-are-the-same-It-c

Tinku Tara June 4, 2023 Permutation and Combination 0 Comments

Question Number 130689 by liberty last updated on 28/Jan/21 $Mr . Rahmat decided to create a password$ $with the form numbers and letterse$ $intermittntly intermittent (can also be$ $letters and numbers intermittently) but no$ $nmbers and letters are the same . It$ $chooses to use numbers on the set {2, 5, 8, 9}$ $$\mathrm{and}\:\mathrm{selects}\:\mathrm{the}\:\mathrm{letters}\:\mathrm{on}\:\mathrm{the}\:\mathrm{set}\:\left\{\:\mathrm{A},\:\mathrm{X},\:\mathrm{Y},\:\mathrm{W},\mathrm{Z}\right\}\: \…

How-many-password-containing-6-characters-of-the-letters-in-the-word-Move-Now-

Tinku Tara June 4, 2023 Permutation and Combination 0 Comments

Question Number 130685 by EDWIN88 last updated on 28/Jan/21 $H o w m a n y p a s s w o r d c o n t a i n i n g$ $6 c h a r a c t e r s o f t h e l e t t e r s i n t h e$ $w o r d^{″} M o v e N o w^{″} ?$ Answered by liberty last updated on 28/Jan/21 $$\mathrm{case}\left(\mathrm{1}\right)\:\underset{−} {\mathrm{O}}\underset{−}…

Question-130634

Tinku Tara June 4, 2023 Permutation and Combination 0 Comments

Question Number 130634 by EDWIN88 last updated on 27/Jan/21 Answered by liberty last updated on 27/Jan/21 $coefficient of x^{8} from {(1 + \frac{x^{2}}{2!} + \frac{x^{4}}{4!} + \frac{x^{6}}{6!} + \frac{x^{8}}{8!})}^{2}$ $$\mathrm{is}\:\frac{\mathrm{2}}{\mathrm{8}!}+\frac{\mathrm{2}}{\mathrm{2}!\mathrm{6}!}+\frac{\mathrm{1}}{\mathrm{4}!\mathrm{4}!}=\frac{\mathrm{1}}{\mathrm{315}} \…

Question-130602

Tinku Tara June 4, 2023 Permutation and Combination 0 Comments

Question Number 130602 by EDWIN88 last updated on 27/Jan/21 Answered by mr W last updated on 27/Jan/21 $= n u m b e r o f 4 d i g i t n u m b e r s w h i c h$ $a r e d i v i s i b l e b y 3 :$ $1002, 1005, \dots, 9999$ $$\Rightarrow\frac{\mathrm{9999}−\mathrm{1002}}{\mathrm{3}}+\mathrm{1}=\mathrm{3000} \…

Category: Permutation and Combination