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How many three-digit numbers can be formed from the digits 2,4,6,8,9?​

Sagot :

[tex] \large\underline \bold{{SOLUTION}}[/tex]

[tex]\longmapsto\rm{P(n,r)= \frac{n!}{(n-r)!}}[/tex]

[tex]\longmapsto\rm{P(5,3)= \frac{5!}{(5-3)!}}[/tex]

[tex]\longmapsto\rm{P(5,3)= \frac{5×4×3×2×1}{2×1}}[/tex]

[tex]\longmapsto\rm{P(5,3)= \frac{5×4×3×\cancel{2×1}}{\cancel{2×1}}}[/tex]

[tex]\longmapsto\rm{P(5,3)=5×4×3}[/tex]

[tex]\longmapsto\boxed{\rm{P(5,3)=60}}[/tex]

[tex] \large\underline{ \bold{ANSWER}}[/tex]

  • 60 ways