Category: Permutation and Combination

Question Number 203833 by depressiveshrek last updated on 29/Jan/24 $$\mathrm{How}\mathrm{many}\mathrm{bit}\mathrm{strings}\mathrm{of}\mathrm{length}11\mathrm{have}$$$$\mathrm{exactly}\mathrm{three}\mathrm{consecutive}1\mathrm{s}?$$ Answered by nikif99 last updated on 30/Jan/24 $$Suchatypicalbitstringoflength=11is$$$$\mathrm{000}\underset{{pos}=\mathrm{4}} {\underbrace{\mathrm{111}}00000}…

Question Number 203198 by cortano12 last updated on 12/Jan/24 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 202598 by cortano12 last updated on 30/Dec/23 Answered by MM42 last updated on 30/Dec/23 $$780$$$$$$ Commented by MM42 last…

Question Number 202257 by cortano12 last updated on 23/Dec/23 Commented by Frix last updated on 23/Dec/23 Each wife is specific �� Commented by mr W last updated on 22/Apr/24…

Question Number 200051 by cortano12 last updated on 13/Nov/23 $$$$$$\mathrm{There}\mathrm{are}\mathrm{many}\mathrm{ways}\mathrm{to}\mathrm{arrange}3\mathrm{red}$$$$\mathrm{balls}\mathrm{and}9\mathrm{black}\mathrm{balls}\mathrm{in}\mathrm{a}\mathrm{circle}$$$$\mathrm{so}\mathrm{that}\mathrm{there}\mathrm{are}\mathrm{a}\mathrm{minimum}\mathrm{of}2$$$$\mathrm{black}\mathrm{balls}\mathrm{between}2\mathrm{adjacent}\mathrm{red}$$$$\mathrm{balls}.$$$$\left(\mathrm{a}\right)180\times 8!\left(\mathrm{b}\right)240\times 7!\left(\mathrm{c}\right)364\times 6!$$$$\:\left(\mathrm{d}\right)\:\mathrm{282}×\mathrm{4}!\:\:\:\:\left(\mathrm{e}\right)\:\mathrm{144}×\mathrm{5}!\: \…