Permutation and Combination – Page 6

the-family-A-has-5-members-and-the-family-B-has-4-members-there-are-6-personsfrom-other-families-in-how-many-ways-can-you-arrange-these-15-persons-around-a-round-table-such-that-no-member-from-fami

Tinku Tara August 14, 2023 Permutation and Combination 0 Comments

Question Number 195964 by mr W last updated on 15/Aug/23 $t h e f a m i l y A h a s 5 m e m b e r s a n d t h e$ $f a m i l y B h a s 4 m e m b e r s . t h e r e a r e$ $6 p e r s o n s f r o m o t h e r f a m i l i e s .$ $i n h o w m a n y w a y s c a n y o u a r r a n g e$ $t h e s e 15 p e r s o n s a r o u n d a r o u n d t a b l e$ $s u c h t h a t n o m e m b e r f r o m f a m i l y A$ $a n d n o m e m b e r f r o m f a m i l y B a r e$ $${next}\:{to}\:{each}\:{other}?…

how-many-different-words-can-be-formed-from-the-letters-in-aaacdefgbbbb-such-that-a-a-and-a-b-are-not-next-to-each-other-see-also-Q-195606-

Tinku Tara August 7, 2023 Permutation and Combination 0 Comments

Question Number 195672 by mr W last updated on 07/Aug/23 $h o w m a n y d i f f e r e n t w o r d s c a n b e$ $f o r m e d f r o m t h e l e t t e r s i n$ $a a a c d e f g b b b b$ $s u c h t h a t a “ a^{″} a n d a “ b^{″} a r e n o t$ $n e x t t o e a c h o t h e r ?$ $You can't use 'macro parameter character #' in math mode$ …

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Tinku Tara August 7, 2023 Permutation and Combination 0 Comments

Question Number 195666 by uchihayahia last updated on 07/Aug/23 $s e q u e n c e o f s t r i n g s a i d t o b e o r d e r l y$ $i f e l e m e n t i n d e x i d i f f e r e n t t o i + 1$ $f o r e x a m p l e$ $a b a h a s o r d e r l y v a l u e 2$ $a b a b h a s o r d e r l y v a l u e 3$ $a b a a b b h a s o r d e r l y v a l u e 3$ $$\:{if}\:{there}\:{are}\:\mathrm{7}\:{a}\:{and}\:\mathrm{13}\:{b} \…

Number-of-distributions-of-n-different-articles-to-r-different-boxes-so-as-1-empty-box-allowed-2-empty-box-not-allowed-with-proof-kindly-help-me-

Tinku Tara August 4, 2023 Permutation and Combination 0 Comments

Question Number 195538 by SLVR last updated on 04/Aug/23 $N u m b e r o f d i s t r i b u t i o n s o f$ $n d i f f e r e n t a r t i c l e s t o r d i f f e r e n t b o x e s$ $s o a s 1) e m p t y b o x a l l o w e d$ $2) e m p t y b o x n o t a l l o w e d$ $w i t h p r o o f \dots k i n d l y h e l p m e$ Commented by SLVR last updated…

Calculer-lim-x-0-sin-x-2-n-1-2-n-sinx-cos-x-2-n-sin-2-x-2-n-

Tinku Tara July 26, 2023 Permutation and Combination 0 Comments

Question Number 195191 by Erico last updated on 26/Jul/23 $Calculer \lim_{x \to 0} \frac{\sin (\frac{x}{2^{n}}) - \frac{1}{2^{n}} sinx \cos (\frac{x}{2^{n}})}{\sin^{2} (\frac{x}{2^{n}})}$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-195015

Tinku Tara July 22, 2023 Permutation and Combination 0 Comments

Question Number 195015 by mustafazaheen last updated on 22/Jul/23 Answered by mathlove last updated on 22/Jul/23 $a s s \Rightarrow x = 1$ $f (1) = \frac{2}{0^{l n 5}} = \infty$ $1 \notin d o m f (x)$ Terms…

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}}…

Category: Permutation and Combination