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A-father-with-8-children-takes-them-3-at-a-time-to-the-Gardens-as-often-as-he-can-without-taking-the-same-3-children-together-more-than-once-The-number-of-times-each-child-will-go-to-the-garden-is-

Question Number 94635 by Vishal Sharma last updated on 20/May/20 $$\mathrm{A}\:\mathrm{father}\:\mathrm{with}\:\mathrm{8}\:\mathrm{children}\:\mathrm{takes}\:\mathrm{them} \\ $$$$\mathrm{3}\:\mathrm{at}\:\mathrm{a}\:\mathrm{time}\:\mathrm{to}\:\mathrm{the}\:\mathrm{Gardens},\:\mathrm{as}\:\mathrm{often}\:\mathrm{as} \\ $$$$\mathrm{he}\:\mathrm{can}\:\mathrm{without}\:\mathrm{taking}\:\mathrm{the}\:\mathrm{same}\:\mathrm{3}\:\mathrm{children} \\ $$$$\mathrm{together}\:\mathrm{more}\:\mathrm{than}\:\mathrm{once}.\:\mathrm{The}\:\mathrm{number} \\ $$$$\mathrm{of}\:\mathrm{times}\:\mathrm{each}\:\mathrm{child}\:\mathrm{will}\:\mathrm{go}\:\mathrm{to}\:\mathrm{the}\:\mathrm{garden} \\ $$$$\mathrm{is} \\ $$ Answered by…

The-perimeter-of-a-ABC-is-6-times-the-arithmetic-mean-of-the-sines-of-its-angles-If-the-side-a-is-1-then-the-angle-A-is-

Question Number 94628 by Vishal Sharma last updated on 20/May/20 $$\mathrm{The}\:\mathrm{perimeter}\:\mathrm{of}\:\mathrm{a}\:\bigtriangleup\:{ABC}\:\mathrm{is}\:\mathrm{6}\:\mathrm{times} \\ $$$$\mathrm{the}\:\mathrm{arithmetic}\:\mathrm{mean}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sines}\:\mathrm{of} \\ $$$$\mathrm{its}\:\mathrm{angles}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{side}\:{a}\:\mathrm{is}\:\:\mathrm{1},\:\mathrm{then}\:\mathrm{the} \\ $$$$\mathrm{angle}\:{A}\:\:\mathrm{is} \\ $$ Answered by Kunal12588 last updated on…

In-ABC-a-3-1-B-30-C-45-then-c-

Question Number 94629 by Vishal Sharma last updated on 20/May/20 $$\mathrm{In}\:\bigtriangleup{ABC},\:{a}=\sqrt{\mathrm{3}}+\mathrm{1},\:{B}=\mathrm{30}°,\:{C}=\mathrm{45}°, \\ $$$$\mathrm{then}\:{c}\:=\:\_\_\_\_. \\ $$ Answered by i jagooll last updated on 20/May/20 $$\frac{\mathrm{c}}{\mathrm{sin}\:\mathrm{45}^{\mathrm{o}} }\:=\:\frac{\mathrm{a}}{\mathrm{sin}\:\mathrm{105}^{\mathrm{o}}…

Each-of-the-angle-between-vectors-a-b-and-c-is-equal-to-60-If-a-4-b-2-and-c-6-then-the-modulus-of-a-b-c-is-

Question Number 28640 by sk9236421@gmail.com last updated on 28/Jan/18 $$\mathrm{Each}\:\mathrm{of}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between}\:\mathrm{vectors}\:\boldsymbol{\mathrm{a}}, \\ $$$$\boldsymbol{\mathrm{b}}\:\mathrm{and}\:\boldsymbol{\mathrm{c}}\:\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{60}°.\:\mathrm{If}\:\mid\boldsymbol{\mathrm{a}}\mid=\mathrm{4},\:\mid\boldsymbol{\mathrm{b}}\mid=\mathrm{2} \\ $$$$\mathrm{and}\:\mid\boldsymbol{\mathrm{c}}\mid=\mathrm{6},\:\mathrm{then}\:\mathrm{the}\:\mathrm{modulus}\:\mathrm{of} \\ $$$$\boldsymbol{\mathrm{a}}+\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}\:\:\mathrm{is} \\ $$ Commented by ajfour last updated on 28/Jan/18…

A-and-B-play-a-game-where-each-is-asked-to-select-a-number-from-1-to-25-If-the-two-numbers-match-both-of-them-win-a-prize-The-probability-that-they-will-not-win-a-prize-in-a-single-trial-is-

Question Number 27961 by 8/mln(naing)060691 last updated on 17/Jan/18 $${A}\:\mathrm{and}\:{B}\:\mathrm{play}\:\mathrm{a}\:\mathrm{game}\:\mathrm{where}\:\mathrm{each}\:\mathrm{is} \\ $$$$\mathrm{asked}\:\mathrm{to}\:\mathrm{select}\:\mathrm{a}\:\mathrm{number}\:\mathrm{from}\:\mathrm{1}\:\mathrm{to}\:\mathrm{25}. \\ $$$$\mathrm{If}\:\mathrm{the}\:\mathrm{two}\:\mathrm{numbers}\:\mathrm{match},\:\mathrm{both}\:\mathrm{of}\:\mathrm{them} \\ $$$$\mathrm{win}\:\mathrm{a}\:\mathrm{prize}.\:\mathrm{The}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{they} \\ $$$$\mathrm{will}\:\mathrm{not}\:\mathrm{win}\:\mathrm{a}\:\mathrm{prize}\:\mathrm{in}\:\mathrm{a}\:\mathrm{single}\:\mathrm{trial}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy…

A-committee-of-five-is-to-be-chosen-from-a-group-of-9-people-The-probability-that-a-certain-married-couple-will-either-serve-together-or-not-at-all-is-

Question Number 93330 by Shakhzod last updated on 12/May/20 $$\mathrm{A}\:\mathrm{committee}\:\mathrm{of}\:\mathrm{five}\:\mathrm{is}\:\mathrm{to}\:\mathrm{be}\:\mathrm{chosen}\:\mathrm{from} \\ $$$$\mathrm{a}\:\mathrm{group}\:\mathrm{of}\:\:\mathrm{9}\:\mathrm{people}.\:\mathrm{The}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{married}\:\mathrm{couple}\:\mathrm{will}\:\mathrm{either} \\ $$$$\mathrm{serve}\:\mathrm{together}\:\mathrm{or}\:\mathrm{not}\:\mathrm{at}\:\mathrm{all}\:\mathrm{is} \\ $$ Answered by prakash jain last updated on…

If-the-ex-radii-r-1-r-2-r-3-of-ABC-are-in-HP-then-its-sides-are-in-

Question Number 27667 by 786786AM last updated on 12/Jan/18 $$\mathrm{If}\:\mathrm{the}\:\mathrm{ex}−\mathrm{radii}\:\:{r}_{\mathrm{1}} \:,\:{r}_{\mathrm{2}} \:,\:{r}_{\mathrm{3}} \:\mathrm{of}\:\bigtriangleup{ABC} \\ $$$$\mathrm{are}\:\mathrm{in}\:\mathrm{HP},\:\mathrm{then}\:\mathrm{its}\:\mathrm{sides}\:\mathrm{are}\:\mathrm{in} \\ $$ Answered by Tinkutara last updated on 12/Jan/18 Terms…

Let-S-n-1-1-3-1-2-1-3-2-3-1-2-n-1-3-2-3-n-3-n-1-2-3-Then-S-n-is-greater-than-

Question Number 27604 by 0722136841 last updated on 10/Jan/18 $$\mathrm{Let}\: \\ $$$${S}_{{n}} =\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{3}} }\:+\:\frac{\mathrm{1}+\mathrm{2}}{\mathrm{1}^{\mathrm{3}} +\mathrm{2}^{\mathrm{3}} }\:+…+\frac{\mathrm{1}+\mathrm{2}+…+{n}}{\mathrm{1}^{\mathrm{3}} +\mathrm{2}^{\mathrm{3}} +…+{n}^{\mathrm{3}} };\:{n}=\mathrm{1},\mathrm{2},\mathrm{3},.. \\ $$$$\mathrm{Then}\:{S}_{{n}} \:\mathrm{is}\:\mathrm{greater}\:\mathrm{than} \\ $$ Commented…