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The-number-of-ways-in-which-12-books-can-be-put-in-3-shelves-4-on-each-is-

Question Number 90223 by zainal tanjung last updated on 22/Apr/20 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{in}\:\mathrm{which}\:\mathrm{12}\:\mathrm{books} \\ $$$$\mathrm{can}\:\mathrm{be}\:\mathrm{put}\:\mathrm{in}\:\mathrm{3}\:\mathrm{shelves},\:\mathrm{4}\:\mathrm{on}\:\mathrm{each},\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

The-number-of-ways-in-which-8-distinct-toys-can-be-distributed-among-5-children-is-

Question Number 90220 by zainal tanjung last updated on 22/Apr/20 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{in}\:\mathrm{which}\:\mathrm{8}\:\mathrm{distinct} \\ $$$$\mathrm{toys}\:\mathrm{can}\:\mathrm{be}\:\mathrm{distributed}\:\mathrm{among}\:\mathrm{5}\: \\ $$$$\mathrm{children}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

There-are-3-copies-each-of-4-different-books-The-number-of-ways-in-which-in-which-they-can-be-arranged-in-a-shelf-is-

Question Number 90221 by zainal tanjung last updated on 22/Apr/20 $$\mathrm{There}\:\mathrm{are}\:\mathrm{3}\:\mathrm{copies}\:\mathrm{each}\:\mathrm{of}\:\mathrm{4}\:\mathrm{different} \\ $$$$\mathrm{books}.\:\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{in}\:\mathrm{which} \\ $$$$\mathrm{in}\:\mathrm{which}\:\mathrm{they}\:\mathrm{can}\:\mathrm{be}\:\mathrm{arranged}\:\mathrm{in}\:\mathrm{a}\: \\ $$$$\mathrm{shelf}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact:…

If-the-sides-of-a-rectangle-are-increased-each-by-10-find-the-increase-in-its-diagonal-

Question Number 24459 by mustafasediqi last updated on 18/Nov/17 $$\mathrm{If}\:\mathrm{the}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{a}\:\mathrm{rectangle}\:\mathrm{are}\:\mathrm{increased} \\ $$$$\mathrm{each}\:\mathrm{by}\:\mathrm{10\%},\:\mathrm{find}\:\mathrm{the}\:\%\:\mathrm{increase}\:\mathrm{in}\:\mathrm{its} \\ $$$$\mathrm{diagonal}. \\ $$ Answered by ajfour last updated on 18/Nov/17 $${d}^{\:\mathrm{2}} \:=\:{l}^{\mathrm{2}}…

In-a-race-on-a-track-of-a-certain-length-A-beats-B-by-20-m-When-A-was-10-m-ahead-of-the-mid-point-of-the-track-B-was-2-m-behind-it-Find-the-length-of-the-track-in-m-

Question Number 24428 by dhandhaliyachandra@gmail.Com last updated on 17/Nov/17 $$\mathrm{In}\:\mathrm{a}\:\mathrm{race}\:\mathrm{on}\:\mathrm{a}\:\mathrm{track}\:\:\mathrm{of}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{length}, \\ $$$$\mathrm{A}\:\:\mathrm{beats}\:\mathrm{B}\:\mathrm{by}\:\mathrm{20}\:\mathrm{m}.\:\mathrm{When}\:\mathrm{A}\:\mathrm{was}\:\mathrm{10}\:\mathrm{m} \\ $$$$\mathrm{ahead}\:\mathrm{of}\:\mathrm{the}\:\mathrm{mid}−\mathrm{point}\:\mathrm{of}\:\mathrm{the}\:\mathrm{track}\:\mathrm{B} \\ $$$$\mathrm{was}\:\mathrm{2}\:\mathrm{m}\:\mathrm{behind}\:\mathrm{it}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{track}\:\left(\mathrm{in}\:\mathrm{m}\right). \\ $$ Answered by ajfour last updated…

A-number-is-multiplied-by-2-1-3-times-itself-and-then-61-is-subtracted-from-the-product-obtained-If-the-final-result-is-9200-then-the-number-is-

Question Number 24426 by dhandhaliyachandra@gmail.Com last updated on 17/Nov/17 $$\mathrm{A}\:\mathrm{number}\:\mathrm{is}\:\mathrm{multiplied}\:\mathrm{by}\:\mathrm{2}\frac{\mathrm{1}}{\mathrm{3}}\:\mathrm{times} \\ $$$$\mathrm{itself}\:\mathrm{and}\:\mathrm{then}\:\mathrm{61}\:\mathrm{is}\:\mathrm{subtracted}\:\mathrm{from} \\ $$$$\mathrm{the}\:\mathrm{product}\:\mathrm{obtained}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{final}\:\mathrm{result} \\ $$$$\mathrm{is}\:\mathrm{9200},\:\mathrm{then}\:\mathrm{the}\:\mathrm{number}\:\mathrm{is} \\ $$ Answered by ajfour last updated on 17/Nov/17…

The-time-taken-by-a-train-l-metres-long-running-at-x-km-h-to-pass-a-man-who-is-running-at-y-km-h-in-the-direction-opposite-to-that-of-the-train-The-time-taken-to-cover-l-metres-at-km-h-

Question Number 24417 by dhandhaliyachandra@gmail.Com last updated on 17/Nov/17 $$\mathrm{The}\:\mathrm{time}\:\mathrm{taken}\:\mathrm{by}\:\mathrm{a}\:\mathrm{train}\:{l}\:\mathrm{metres}\:\mathrm{long} \\ $$$$\mathrm{running}\:\mathrm{at}\:{x}\:\mathrm{km}/\mathrm{h}\:\mathrm{to}\:\mathrm{pass}\:\mathrm{a}\:\mathrm{man}\:\mathrm{who} \\ $$$$\mathrm{is}\:\mathrm{running}\:\mathrm{at}\:{y}\:\mathrm{km}/\mathrm{h}\:\mathrm{in}\:\mathrm{the}\:\mathrm{direction} \\ $$$$\mathrm{opposite}\:\mathrm{to}\:\mathrm{that}\:\mathrm{of}\:\mathrm{the}\:\mathrm{train}\:=\:\mathrm{The}\:\mathrm{time} \\ $$$$\mathrm{taken}\:\mathrm{to}\:\mathrm{cover}\:{l}\:\mathrm{metres}\:\mathrm{at}\:\_\_\_\_\_\:\mathrm{km}/\mathrm{h}. \\ $$ Answered by ajfour last updated…

The-system-of-equations-kx-y-z-1-x-ky-z-k-and-x-y-kz-k-2-have-no-solution-if-k-equals-

Question Number 88872 by Zainal Arifin last updated on 13/Apr/20 $$\mathrm{The}\:\mathrm{system}\:\mathrm{of}\:\mathrm{equations}\:\:\:{kx}+{y}+{z}=\mathrm{1}, \\ $$$${x}+{ky}+{z}={k}\:\:\:\mathrm{and}\:\:\:{x}+{y}+{kz}={k}^{\mathrm{2}} \:\mathrm{have} \\ $$$$\mathrm{no}\:\mathrm{solution}\:\mathrm{if}\:\:\:{k}\:\:\mathrm{equals} \\ $$ Commented by john santu last updated on…

If-f-x-is-a-periodic-function-with-period-T-then-

Question Number 88681 by NicolasXd last updated on 12/Apr/20 $$\mathrm{If}\:\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{periodic}\:\mathrm{function},\:\mathrm{with} \\ $$$$\mathrm{period}\:{T},\:\mathrm{then} \\ $$ Commented by jagoll last updated on 12/Apr/20 $${then}\:\underset{\mathrm{0}} {\overset{{nT}} {\int}}\:{f}\left({x}+{mT}\right)\:{dx}\:=\:{n}\:\underset{\mathrm{0}} {\overset{{T}}…