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Anettt [7]
3 years ago
8

Find the remainder when 70! Is divided by 5183

Mathematics
1 answer:
ella [17]3 years ago
5 0
The remainder is 3
74x70=5180
5183-5180 =3
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In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. There is someone with a very bad
diamong [38]

Answer: 12,972,960

Step-by-step explanation: There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways

The 2nd has a choice among 13 ways

The 3rd has a choice among 12 ways

The 4th has a choice among 11 ways

The 5th has a choice among 10 ways

The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways

But the 3 (that formed one group) could seat among themselves in 3!

or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

5 0
3 years ago
A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
alukav5142 [94]
4000(1.05)⁴=$4862.03

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15450(.86)³=$9827.07
8 0
3 years ago
Read 2 more answers
A satellite travels from Earth to the moon (238,905 miles), then from the moon to Mars (48,340,732 miles) and finally from Mars
hodyreva [135]

The total distance the satellite traveled in all is 120,528,469 miles

<h3>Calculating total distance</h3>

From the question, we are to determine how far the Satellite traveled in all

From the given information,

A satellite travels from Earth to the moon (238,905 miles),

and

It traveled from the moon to Mars (48,340,732 miles)

and

It finally traveled from Mars to Venus (71,948,832 miles)

The total distance the satellite traveled in all = 238,905 miles + 48,340,732 miles + 71,948,832 miles

∴The total distance the satellite traveled in all = 120,528,469 miles

Hence, the total distance the satellite traveled in all is 120,528,469 miles

Learn more on Calculating distance here: brainly.com/question/24295081

#SPJ1

8 0
1 year ago
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.M.
posledela

Answer:

3.625gpm

Step-by-step explanation:

READ and divide

7 0
2 years ago
Cody wants to attend the fall festival at school. The price of admission to the festival is $5.50 and each game cost an addition
My name is Ann [436]
75 divided by 15.00 is 20 because of you put 75 into 150 you can put it in 2 times evenly then you take down the 0 and 00 - 0 = 0 so answer is 20 games.

5 0
2 years ago
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