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Question Number 190818 by cortano12 last updated on 12/Apr/23

$$\mathrm{It}\mathrm{is}\mathrm{known}\mathrm{that}\mathrm{the}\mathrm{set}\mathrm{A}=\{1,2,3,...,100\}$$$$\mathrm{The}\mathrm{numbers}\mathrm{of}\mathrm{subsets}\mathrm{of}\mathrm{A}\mathrm{which}\mathrm{when}$$$$\mathrm{added}\mathrm{together}\mathrm{are}\mathrm{divisible}\mathrm{by}4$$

Commented by safojontoshtemirov last updated on 12/Apr/23

$$\left[\frac{100}{4}\right]=25$$

Commented by cortano12 last updated on 12/Apr/23

$$\mathrm{no}$$

Commented by mehdee42 last updated on 12/Apr/23

$$2^{25}-1$$

Commented by cortano12 last updated on 13/Apr/23

$$\mathrm{how}$$

Commented by safojontoshtemirov last updated on 13/Apr/23

$$formulas:2^{\left[\frac{n}{k}\right]}-1int\left[\frac{n}{k}\right]$$

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