Menu Close

Category: Permutation and Combination

Find-the-number-of-integers-greater-than-6200-that-can-be-formed-from-the-digits-1-3-6-8-and-9-where-each-digit-is-used-at-most-once-

Question Number 199333 by necx122 last updated on 01/Nov/23 $${Find}\:{the}\:{number}\:{of}\:{integers}\:{greater} \\ $$$${than}\:\mathrm{6200}\:{that}\:{can}\:{be}\:{formed}\:{from} \\ $$$${the}\:{digits}\:\mathrm{1},\mathrm{3},\mathrm{6},\mathrm{8}\:{and}\:\mathrm{9},\:{where}\:{each} \\ $$$${digit}\:{is}\:{used}\:{at}\:{most}\:{once}. \\ $$ Answered by aleks041103 last updated on 01/Nov/23…

x-

Question Number 199054 by cortano12 last updated on 27/Oct/23 $$\:\:\boldsymbol{{x}} \\ $$ 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)…

Given-the-number-of-consisting-of-4-digits-abcd-such-that-a-b-c-d-is-A-495-B-385-C-275-D-165-E-55-

Question Number 198283 by cortano12 last updated on 16/Oct/23 $$\mathrm{Given}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\:\mathrm{consisting} \\ $$$$\:\mathrm{of}\:\mathrm{4}\:\mathrm{digits}\:\mathrm{abcd}\:\mathrm{such}\:\mathrm{that}\: \\ $$$$\:\mathrm{a}\leqslant\mathrm{b}\leqslant\mathrm{c}\leqslant\mathrm{d}\:\mathrm{is}\:… \\ $$$$\:\left(\mathrm{A}\right)\:\mathrm{495}\:\:\:\left(\mathrm{B}\right)\:\mathrm{385}\:\:\:\:\:\left(\mathrm{C}\right)\:\mathrm{275} \\ $$$$\:\left(\mathrm{D}\right)\:\mathrm{165}\:\:\:\:\left(\mathrm{E}\right)\:\mathrm{55}\: \\ $$ Commented by mr W last…