Pregunta de Matemática e suas Tecnologias #01a0e94a

Question

A hospital has 7 cardiologists and 6 neurologists on its staff. To perform a certain activity, the hospital management will assemble a team of 5 doctors, with at least 3 cardiologists.

The numerical expression representing the maximum number of distinct ways to assemble this team is

Accepted Answer

\left(\frac{7!}{3! 	imes 4!} 	imes \frac{6!}{2! 	imes 4!}ight) + \left(\frac{7!}{4! 	imes 3!} 	imes \frac{6!}{1! 	imes 5!}ight) + \left(\frac{7!}{5! 	imes 2!} 	imes \frac{6!}{0! 	imes 6!}ight)

Answer

\frac{7!}{4!} 	imes \frac{6!}{4!}

Answer

\frac{7!}{3! 	imes 4!} 	imes \frac{6!}{2! 	imes 4!}

Answer

\frac{7!}{3! 	imes 4!} + \frac{6!}{2! 	imes 4!} + \frac{5!}{1! 	imes 4!}

Answer

\left(\frac{7!}{3! 	imes 4!} + \frac{6!}{2! 	imes 4!}ight) 	imes \left(\frac{7!}{4! 	imes 3!} + \frac{6!}{1! 	imes 5!}ight) 	imes \left(\frac{7!}{5! 	imes 2!} + \frac{6!}{0! 	imes 6!}ight)

Pregunta de Matemática e suas Tecnologias #01a0e94a

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