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Misha Larkins [42]
3 years ago
12

Our club has 25 members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers,

if: (a)individual members can only hold at most one office
Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer:

13800

Step-by-step explanation:

The order of the members is important (because each selected member will receive a different position), thus we then need to use the definition of permutation.

There are 25 members, of which 3 are selected.

\begin{array}{l}n=25 \\r=3\\end{array}

Evaluate the definition of a combination:

P(25,3)=\frac{25 !}{(25-3) !}=\frac{25 !}{22 !}=25 \cdot 24 \cdot 23=13800

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Find the value of x and y <br>&lt;1=(10x) <br>&lt;2=(10y+20)<br>&lt;3 =100 ​
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Answer:

  1. 100
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Step-by-step explanation:

We can use the vertical angle theorem to solve for most of this problem. We know that 1/3 will have the same measure and so will 4/2. We can create an equation to solve for 1 and 3.

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We aren't given angle 4 so we are going to have to solve that ourselves. We can create an equation knowing that 4 and 3 will create a supplementary angle.

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Now, that we have angle 4, we know that angle 2 will have the same measure because they are vertical angles. Now to find the value of y, we can take the angle measure and solve for it.

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use the method of successive differences to determine the next term in the sequence: 4, 14, 82, 268, 657, 1359
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The method of successive differences uses subtraction to the one number to the next and the process goes on until the difference settles constant which is not equal to zero. In this case, the constant difference reaches 25. Reversing the process to get the next term, the answer is 2509.  
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