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Feliz [49]
3 years ago
5

Is this problem a combination or permutation?

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
5 0

Answer:

Combination

Step-by-step explanation:

This is the answer because:

1) The difference between combinations and permutations is the ordering of each term.

Combinations - the order doesn't matter

Permutations - the order matters.

An example of this is, if you enter the number combination 5324 into your locker/cabinet, it won't open up because it is a different ordering and needs a specific combination which means it's permutation.  

2) In this situation, the order doesn't not matter since they just want different ways to select an assistant, a representative, a treasurer, and a recorder.

Hope this helps! :D

HACTEHA [7]3 years ago
4 0

Answer: Permutation Problem

There are 5040 permutations possible

==================================================

Explanation:

Order matters because the positions are different.

(A,B,C,D) is different from (B,A,C,D) because the first means person A is the assistant while the second means person B is the assistant.

We have 10 choices for the first slot, 9 for the second, 8 for the third, and 7 for the fourth. We count down the values because a person cannot be reselected to serve multiple positions simultaneously.

Multiply out those values to get 10*9*8*7 = 5040

There are 5040 permutations possible.

---------------

As an alternative, you can use the nPr permutation formula with n = 10 and r = 4 like so

_n P_r = \frac{n!}{(n-r)!}\\\\_{10} P_{4} = \frac{10!}{(10-4)!}\\\\_{10} P_{4} = \frac{10!}{6!}\\\\_{10} P_{4} = \frac{10*9*8*7*6!}{6!}\\\\_{10} P_{4} = 10*9*8*7 \ \ \text{ ... note how this shows up again}\\\\_{10} P_{4} = 5040\\\\

We get the same answer as before.

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Answer:

Enlargement of a shape or quantity is determined by its scale factor.

The position of a shape is determined by where the centre of enlargement is located.

The centre of enlargement can either be within the shape or outside it.

Step-by-step explanation:

hope this helps

4 0
3 years ago
Write this phrase as an expression.<br><br> “25 more than 50”
Brut [27]
25+50 I assume...I mean I could be wrong but what else would it be
6 0
3 years ago
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Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?
tensa zangetsu [6.8K]

The <em><u>correct answer</u></em> is:

x³+x²+x+1.

Explanation:

First we write the polynomial out with all of the other powers of x, using 0 as their coefficients:

(1x⁴+0x³+0x²+0x-1)÷(x-1)

To perform synthetic division, we write the coefficients of the dividend in a row:

1 0 0 0 1

We take the 1 from x-1 and use it in the box. We then drop the first 1 from the row of coefficients down.

We multiply our 1 in the box by the 1 at the bottom; this is 1 and goes under the first 0 to the right of the 1 in the coefficients row. We now add this 0+1; this is 1 and goes at the bottom beside the other 1.

Multiply this by 1; this is 1 and goes under the second 0 from the left in the row of coefficients. Add this to the 0; this is 1 and goes at the bottom, to the right of the other two 1's.

Multiply this by 1; this is 1 and goes under the third and last 0 in the row of coefficients. Add this to the 0; this is 1 and goes at the bottom, to the right of the other three 1's.

Multiply this by 1; this is 1 and goes under the -1 in the row of coefficients. Add this to the -1; this is 0 and goes at the bottom, to the right of the four 1's. This 0 means there is no remainder and the quotient was evenly divided. It gives us

1 1 1 1 0

This means we have 1x³+1x²+1x+1 with no remainder.

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The penny size of a nail indicates the length of the nail. The penny size d
Korvikt [17]

By working with the given linear equation we will see that:

a) n = (d + 2)/4

b)

  • A 3-penny nail is_5/4_inches.
  • A 6-penny nail is_2_inches.
  • A 10-penny nail is_3_inches.

<h3>How to solve the equation for n?</h3>

Here we have the linear equation:

d = 4n - 2

We want to solve it for n, it means that we need to isolate n in one side of the equation.

If we first add 2 in both sides of the equation, and then we divide both sides by 4, we will get:

d + 2 = 4n

(d + 2)/4 = n

That is the equation solved for n.

b) The penny size is d, and n is the length of the nail, then:

if d = 3, we have:

n = (3 + 2)/4 = 5/4

if d = 6, then:

n = (6 + 2)/4 = 2

if d = 10, then:

n = (10 + 2)/4 = 3

Thus:

  • A 3-penny nail is_5/4_inches.
  • A 6-penny nail is_2_inches.
  • A 10-penny nail is_3_inches.

if you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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Savatey [412]

Answer: 63,163

Step-by-step explanation:

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