Leenaaidn
Answered

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1. Give the number of permutations that can be made from the letters in the word
BLOWER if 3 letters are used 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(6,3)= \frac{6!}{(6-3)!}}[/tex]

[tex]\longmapsto\rm{P(6,3)= \frac{6!}{3!}}[/tex]

[tex]\longmapsto\rm{P(6,3)= \frac{6×5×4×3×2×1}{3×2×1}}[/tex]

[tex]\longmapsto\rm{P(6,3)= \frac{6×5×4×\cancel{3×2×1}}{\cancel{3×2×1}}}[/tex]

[tex]\longmapsto \rm{P(6,3) = 6×5×4}[/tex]

[tex]\longmapsto \boxed{\rm{P(6,3) = 120 }}[/tex]

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

  • 120 different ways