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Montano1993 [528]
3 years ago
15

At a gymnastics meet, twenty gymnasts compete for first, second, and third place. How many ways can first, second, and third pla

ce be assigned? Third place has been announced. In how many ways can the remaining two places be assigned? Third and second places have been announced. In how many ways can first place be assigned?
Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0
Part A:

Given that a<span>t a gymnastics meet, twenty gymnasts compete for first, second, and third place. The number of ways </span><span>first, second, and third place can be assigned</span><span> is given by

^{20}P_3= \frac{20!}{(20-3)!}  \\  \\ = \frac{20!}{17!} =20\times19\times18 \\  \\ =6,840\ ways



Part B:

</span>Given that at a gymnastics meet, twenty gymnasts compete for first, second, and third place. If the t<span>hird place has been announced the number of ways that the remaining two places can be assigned</span> is given by :

<span>^{19}P_2= \frac{19!}{(19-2)!}  \\  \\ = \frac{19!}{17!} =19\times18 \\  \\ =342\ ways
</span>


Part C:

Given that at a gymnastics meet, twenty gymnasts compete for first, second, and third place. If the third and second places have been announced the number of ways that the <span>first place</span> can be assigned is given by :

^{18}P_1= \frac{18!}{(18-1)!}  \\  \\ = \frac{18!}{17!} =18\ ways
mojhsa [17]3 years ago
7 0

The correct answer is:

1. 6,840

2. 342

3. 18

At a gymnastics meet, twenty gymnasts compete for first, second, and third place.

|Huntrw6|

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Evaluate.
aleksandrvk [35]

Answer: -2 4/15

Step-by-step explanation: To properly subtract, we need to find a common denominator. We can list the multiples of 3 and 5 to find the common denominator:

3: 3, 6, 9, 12, 15

5: 5, 10, 15


The first common multiple we see is 15.

Calculation:

3 · 3 = 9

9 + 1 = 10

3 1/3 = 10/3

5 x 5 = 25

25 + 3 = 28

-5 3/5 = -28/5

Now to convert into fifteen as the denominator:

-28/5 = -28 x 3/5 x 3 = -84/15

10/3 = 10 x 5/3 x 5 = 50/15

Now to subtract accordingly:

50/15 - 84/15 = -34/15

Final answer: -34/15 (can be reduced to -2 4/15).

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1 year ago
What happens to the value of the expression 5/x+5 as x decreases from a large positive number to a small positive number?
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option 2. it increases

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6 0
3 years ago
Problem Solving
N76 [4]

you're absolutely correct.

each system is sold for $2150, that includes cost + markup, namely the markup is the surplus amount otherwise called "profit".

they sold 12 of those, 2150 * 12 = 25800

they had $4824.36 in profits from it, so if we subtract that from the sale price, we'll be left with the cost of all 12 systems

25800 - 4824.36 = 20975.64

that's the cost for all 12 systems sold, how many times does 12 go into 20975.64?  20975.64 ÷ 12 = 1747.97.

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