Mathematics, 09.07.2019 21:00 tylorroundy

There are 125 people and three door prizes. how many ways can three door prizes of $50 each be distributed? how many ways can door prizes of $5,000, $500 and $50 be distributed?

Answers: 1

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Answer from: valencial0917

We have been given that there are 125 people and three door prizes.

In the first part we need to figure out how many ways can three door prizes of $50 each be distributed?

Since there are total 125 people and there are three identical door prices, therefore, we need to use combinations for this part.

Hence, the required number of ways are:

$_{3}^{125}\textrm{C}=\frac{125!}{122!3!}=\frac{125*124*123}{1*2*3}=317750$

In the next part, we need to figure out how many ways can door prizes of $5,000, $500 and $50 be distributed?

Since we have total 125 people and there are three prices of different values, therefore, the required number of ways can be figured out by using permutations.

$_{3}^{125}\textrm{P}=\frac{125!}{122!}=125*124*123=1906500$

Answer from: Quest

answer:

payment just for service

→

87.12

payment for service including tax

→

94.09

explanation:

service only with 20% tip

→

72.6

(

100

)

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the

service

−−−−−−

so technically the answer is

→

72.6

(

100

)

87.12

however, the intention of the question provider may have been that your answer is to be

87.12

(

100

)

94.09

to 2 decimal places.

payment just for service

→

87.12

payment for service including tax

→

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge

→

72.60

20% tip

100

72.60

14.52

−−−−−−

←

add

87.12

tax

100

87.12

6.97

−−−−−

←

add

94.09

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There are 125 people and three door prizes. how many ways can three door prizes of $50 each be distr...

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