Ivan Shishkin, Rye (1878)

Problems/OtherExercise

Fraction avec des factorielles

by Ancient Tree·
8
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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ReviewedReviewed by darktoaster
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Français
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Simplifier les fractions suivantes :
5!4!,6!8!.\frac{5!}{4!},\qquad \frac{6!}{8!}.où !! représente la factorielle.

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Solution by darktoaster

Discussions0 useful votes

Premieˋre fraction\textbf{Première fraction}
5!4!=5⋅4⋅3⋅2⋅14⋅3⋅2⋅1=5\frac{5!}{4!} = \frac{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{4 \cdot 3 \cdot 2 \cdot 1} = 5
\newline
Deuxieˋme fraction\textbf{Deuxième fraction}
6!8!=6⋅5⋅4⋅3⋅2⋅18⋅7⋅6⋅5⋅4⋅3⋅2⋅1=18⋅7=156\frac{6!}{8!} = \frac{6\cdot5\cdot4\cdot3\cdot2\cdot1}{8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1} = \frac{1}{8\cdot7} = \frac{1}{56}

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