A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. calculate the number of elements in the sample space

Question

Goryan [66]

4 years ago

11

A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. calculate the number of elements in the sample space

for this experiment.

Mathematics

1 answer:

Serggg [28] · Answer 1 · 2021-12-29T07:19:30+03:00

A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. calculate the number of elements in the sample space for this experiment.

Answer: The number of elements in the sample space for this experiment can be found using the combination formula because the order does not matter here.

Therefore, the number of elements in the sample space for this experiment is:

$13C4=\frac{13!}{(13-4)!4!}$

$=\frac{13!}{9! \times 4!}$

$=\frac{6227020800}{8709120}$

$=715$

Therefore, the number of elements in the sample space for this experiment is 715.