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Cuántas maneras = [[0]]

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No estamos interesados en el orden en que se vendieron los autos, sino en el número de autos que vendió cada vendedor.

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Por lo tanto, estamos interesados en la cantidad de subconjuntos de $ \\var {b} $ - de tamaño $ \\var {p} $.Así que el número de posibilidades viene dado por:

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\\[\\binom{\\var{p+b-1}}{\\var {b}} = \\var{ans}\\]

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", "rulesets": {}, "statement": "

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Un concesionario de automóviles emplea a $ \\var {p} $ vendedores . Un vendedor recibe $\\$100$ por cada automóvil que vende.Ayer, el concesionario vendió $\\var{b}$ autos.

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¿De cuántas maneras podría pasar esto?

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(Considere dos escenarios diferentes si resultan en pagos de bonos diferentes).

", "type": "question", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}