Il s'agit d'un problème de combinaisons avec répétition (stars and bars) :
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- Le temps nécessaire est de \( rac{24}{7} \) heures.
- #### \( rac{24}{7}\)
- Trouvez le nombre de solutions entières à l'équation \( x_1 + x_2 + x_3 = 15 \) sous réserve que \( x_1, x_2, x_3 \geq 0 \).
- Nombre de solutions = \( inom{15 + 3 - 1}{3 - 1} = inom{17}{2} \)
- \[ inom{17}{2} = rac{17 imes 16}{2} = 136 \]
- Il y a 136 solutions entières.
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