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determine the maximum number of points of intersection of 50 lines knowing that 39 of them are concurrent at one point and

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Determine the maximum number of points of intersection of 50 lines, knowing that 39 of them are concurrent at one point and the remaining ones are secant lines.

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Answer to a math question Determine the maximum number of points of intersection of 50 lines, knowing that 39 of them are concurrent at one point and the remaining ones are secant lines.

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95 Answers

1. Calcular el número de intersecciones para 11 rectas no concurrentes:

\binom{11}{2} = 55

.
2. Las 39 rectas concurrentes se cruzan en un solo punto: suman 1 intersección total.
3. Sumar las intersecciones identificadas:

1 + 55 = 56

.
4. Respuesta final: 56.

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