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LenaWriter [7]
3 years ago
11

In how many ways can a committee of 5 people be chosen from a total of 30 possible people?

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:  142506

Step-by-step explanation:

Given : The total number of choices for people in committee = 30

The number of people need to be chosen =5

Since , here order doesn't matter, so we use combination.

The combination of r things taking from n at a time is given by :-

C(n,r)=\dfrac{n!}{(n-r)!r!}

Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-

C(30,5)=\dfrac{30!}{(30-5)!5!}\\\\=\dfrac{30\times29\times28\times27\times26}{120}\\\\=142506

Hence, the committee can be made in 142506 ways.

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There will be 72 flowers in total in the large arrangement.

Step-by-step explanation:

No. of red flowers in vase = 4

No. of white flowers in vase = 5

Ratio of red flowers to white flowers = 4:5

No. of red flowers in large arrangement = 32

No. of white flowers in large arrangement = w

Ratio of red flowers to white flowers = 32:w

Using proportion;

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Product of extreme = Product of mean

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Dividing both sides by 4

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Total flowers in large arrangement = Red flowers + white flowers

Total flowers in large arrangement = 32 + 40 =72

There will be 72 flowers in total in the large arrangement.

Keywords: ratio, proportion

Learn more about ratios at:

  • brainly.com/question/4228574
  • brainly.com/question/4279146

#LearnwithBrainly

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