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lord [1]
3 years ago
7

An election ballot asks voters to select five city commissioners from a group of thirteen candidates. In how many ways can this

be​ done?
Mathematics
1 answer:
anzhelika [568]3 years ago
8 0
This can be solved using permutations.You can get more into this online or just accept a quick answer here.

Since there are certain roles to be filled this is a permutation.

You need a somewhat smart calculator for this.

If I remember this right you'd type in the number of people you are choosing from, P , and then the places you are trying to fill.

So it should look like this:

13 P 5

You can find where permutations and combinations are in your calculator using a handbook or the internet but usually it looks like nPr for permutation or nCr for combination.
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Answer:

5

Step-by-step explanation:

If Wendy has $27 to buy seeds, and each seed bag costs $5, then:

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2 years ago
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Dmitriy789 [7]

Suppose

S=50+51+52+\cdots+100+101

At the same time, we can write

S^*=101+100+99+\cdots+51+50

Note that S=S^* (just reverse the sum). Let's pair the first terms of S and S^*, and the second, and the third, and so on:

S+S^*=(50+101)+(51+100)+(52+99)+\cdots+(100+51)+(101+50)

Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas

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But S=S^*, as we pointed out, so

2S=52\cdot151\implies S=\dfrac{52\cdot151}2=3926

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Step-by-step explanation:

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Step-by-step explanation:

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