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Care este raspunsul la C in baza 4 la puterea 2 + C in baza 5 la puterea 4

Răspuns :

C₄²+c₅⁴=4!/2!(4-2)! +5!/4!(5-4)!=
=(1×2×3×4)/(1×2)(1×2)+(1×2×3×4×5)/(1×2×3×4)=
=24/4+120/24=
=6+5=11
[tex]C^{2}_4=\frac{4!}{2!*(4-2)!}=\frac{3*4}{1*2}=\frac{12}{2}=6\\ C^{4}_5=\frac{5!}{4!}=5\\C^{2}_4+C^{4}_5=6+5=11[/tex]