How-many-of-the-number-formed-by-using-all-the-digits-1-2-3-4-5-6-only-once-divisible-by-25-

Question Number 155816 by cortano last updated on 05/Oct/21

$$\:\mathrm{How}\:\mathrm{many}\:\mathrm{of}\:\mathrm{the}\:\mathrm{number}\:\mathrm{formed} \\ $$$$\:\mathrm{by}\:\mathrm{using}\:\mathrm{all}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6} \\ $$$$\:\mathrm{only}\:\mathrm{once}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{25}. \\ $$

Answered by talminator2856791 last updated on 05/Oct/21

$$\:\mathrm{4}!\:=\:\mathrm{24} \\ $$

Commented by prakash jain last updated on 05/Oct/21

$$\mathrm{Should}\:\mathrm{subtract}\:\mathrm{numbers}\:\mathrm{divisble} \\ $$$$\mathrm{by}\:\mathrm{625}\:\mathrm{from}\:\mathrm{24}. \\ $$

Commented by Rasheed.Sindhi last updated on 05/Oct/21

$${Should}\:{also}\:{subtract}\:{numbers}\:{divisible} \\ $$$${by}\:\mathrm{25}^{\mathrm{3}} \:{and}\:{perhaps}\:{by}\:\mathrm{25}^{\mathrm{4}} … \\ $$

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