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IrinaVladis [17]
3 years ago
5

Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music how many more of Jorge’s

realatives as compared to his classmates like salsa music?
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0
<span>To solve this problem you must apply the proccedure shown below:
 1. You have the following information given in the problem above:
 - There are 75 classmates.
 - 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music.
 2. Therefore, you have:
 - Number of his classmates that likes salsa music:
 75x0.56=42 
 - Number of his r</span>elatives that like salsa music:
 60x0.80=48
 3. Then you have:
 48-42=6
 Therefore, the answer is: 6.
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Step-by-step explanation:

To solve this we will start by just considering the number of ways to arrange 9 objects. We can do this in  9!  ways.

However since we have 3 reoccurring letters in Tennessee namely n,s and e we need to remove the times these form the same arrangement. Let me give an example to show what this means. Lets say we have the arrangement:

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Now what happens if we exchange the places of the letters n for example? Of course we get the same arrangement of letters. We don’t want to count these as 2 different arrangements since for our interests they are the same. We therefore divide  9!  by the number of times this type of double counting occurs.

Since the word has the letter n occurring twice we will start by diving by  2! .

The letter s occurs 2 times as well so we will have to divide by  2!  again.

Finally the letter e occurs 4 times and so we will have to divide by  4!  here.

Now we get the following result:

9/(2 x 2 x 4)=3780.  

So in conclusion there are 3780 different ways to arrange the letters in Tennessee.

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