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Author: Tinku Tara

What-is-the-probability-that-in-a-class-of-18-people-there-exists-a-group-of-3-people-born-on-the-same-day-of-the-week-

Question Number 199310 by necx122 last updated on 01/Nov/23 $${What}\:{is}\:{the}\:{probability}\:{that}\:{in}\:{a}\:{class}\: \\ $$$${of}\:\mathrm{18}\:{people},\:{there}\:{exists}\:{a}\:{group}\:{of}\:\mathrm{3} \\ $$$${people}\:{born}\:{on}\:{the}\:{same}\:{day}\:{of}\:{the} \\ $$$${week}? \\ $$ Commented by AST last updated on 01/Nov/23…

Find-the-number-of-positive-integers-that-are-factors-of-3-19-7-12-10-25-and-are-also-multiples-of-3-15-7-10-10-19-

Question Number 199311 by necx122 last updated on 01/Nov/23 $${Find}\:{the}\:{number}\:{of}\:{positive}\:{integers} \\ $$$${that}\:{are}\:{factors}\:{of}\:\mathrm{3}^{\mathrm{19}} .\mathrm{7}^{\mathrm{12}} .\mathrm{10}^{\mathrm{25}} \:{and}\:{are} \\ $$$${also}\:{multiples}\:{of}\:\mathrm{3}^{\mathrm{15}} .\mathrm{7}^{\mathrm{10}} .\mathrm{10}^{\mathrm{19}} \\ $$ Answered by AST last…

Question-199338

Question Number 199338 by sonukgindia last updated on 01/Nov/23 Answered by aleks041103 last updated on 01/Nov/23 $$\mathrm{5}^{\mathrm{2}^{{M}} } −\mathrm{1}=\left(\mathrm{5}^{\mathrm{2}^{{M}−\mathrm{1}} } \right)^{\mathrm{2}} −\mathrm{1}^{\mathrm{2}} =\left(\mathrm{5}^{\mathrm{2}^{{M}−\mathrm{1}} } +\mathrm{1}\right)\left(\mathrm{5}^{\mathrm{2}^{{M}−\mathrm{1}}…

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…