Category: Permutation and Combination

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}!\: \…

Question Number 199337 by cortano12 last updated on 01/Nov/23 Answered by mr W last updated on 01/Nov/23 $$3)$$$$odd:5\times 6^5$$$$even:2\times 6^5$$$$\frac{{odd}}{{even}}=\frac{\mathrm{5}}{\mathrm{2}} \…

Question Number 199270 by mr W last updated on 31/Oct/23 Commented by mr W last updated on 31/Oct/23 $$\text{You can't use 'macro parameter character \#' in math mode}$$ Commented by mr W…

Question Number 199054 by cortano12 last updated on 27/Oct/23 $$\mathit{x}$$ Answered by AST last updated on 27/Oct/23 $$\left(\mathrm{1}+{x}\right)\left(\mathrm{2}+{x}^{\mathrm{2}} \right)\left(\mathrm{3}+{x}^{\mathrm{3}} \right)\left(\mathrm{4}+{x}^{\mathrm{4}} \right)\left(\mathrm{5}+{x}^{\mathrm{5}} \right)\left(\mathrm{6}+{x}^{\mathrm{6}} \right)…