Bulldogmeidn
Answered

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How many permutations are there if the letters of the word PRIME if the letters are taken 3 at a time?​

Sagot :

AGboiiidn

[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!}{2!}}[/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]

  • [tex]\text{60 different ways}[/tex]