A student needs 11 more classes to graduate. If she has met the prerequisites for all the classes, how many possible schedules for next semester could she make if she plans to take 3 classes?

Respuesta :

Answer:

990

Step-by-step explanation:

11C3 × 3! = 990

The number of possible schedules for next semester could she make is  990.

Given that,

  • The student required 11 more classes to graduate.
  • And, the given classes is 3.

Based on the above information, the calculation is as follows:

[tex]= ^{11}C_3! \times 3!\\\\= \frac{11!}{3!(11 - 3)} \times 3!\\\\= \frac{11!}{3!8!} \times 3!\\\\= \frac{11\times 10\times 9\times 8!}{3\times 2 \times 8!} \times 3!\\\\= 11\times 5\times 3 \times 3![/tex]

= 990

Therefore we can conclude that the number of possible schedules for next semester could she make is  990.

Learn more: brainly.com/question/22231836

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