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Give-a-proof-for-n-1-k-n-0-m-n-n-x-0-m-1-k-x-m-2-In-other-terms-it-is-the-same-n-1-k-n-n-1-n-2-n-m-k-k-1-k-2-

Question Number 51823 by hassentimol last updated on 30/Dec/18 $$ \\ $$$$\:\:\:\:\:\:\boldsymbol{\mathrm{Give}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{proof}}\:\boldsymbol{\mathrm{for}}\:: \\ $$$$ \\ $$$$\:\:\:\underset{{n}=\mathrm{1}} {\overset{{k}} {\sum}}\:\left(\underset{{n}'=\mathrm{0}} {\overset{{m}} {\prod}}\left(\:{n}+\mathrm{n}'\right)\right)\:\:=\:\:\frac{\underset{{x}=\mathrm{0}} {\overset{{m}+\mathrm{1}} {\prod}}\left({k}+{x}\right)}{{m}+\mathrm{2}}\: \\ $$$$ \\…

Question-182895

Question Number 182895 by sciencestudent last updated on 16/Dec/22 Answered by Rasheed.Sindhi last updated on 16/Dec/22 $${x}:\:{total}\:{number}\:{of}\:{employees} \\ $$$$\frac{\mathrm{5}}{\mathrm{8}}\:\mathrm{of}\:{x}\:=\mathrm{240} \\ $$$$\frac{\mathrm{5}}{\mathrm{8}}×{x}=\mathrm{240} \\ $$$${x}=\cancel{\overset{\mathrm{48}} {\mathrm{240}}}×\frac{\mathrm{8}}{\cancel{\mathrm{5}}}=\mathrm{384} \\…

Question-51768

Question Number 51768 by hassentimol last updated on 30/Dec/18 Commented by hassentimol last updated on 30/Dec/18 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{area}\:\mathrm{in}\:\mathrm{purple}\:\mathrm{given}\:\mathrm{that}\:\mathrm{1}\:\mathrm{small} \\ $$$$\mathrm{square}\:\mathrm{is}\:\mathrm{1}\:\mathrm{cm}^{\mathrm{2}} \:? \\ $$$$\mathrm{Thanks} \\ $$ Commented…