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Pie
3 years ago
15

You need to arrange tenten of your favorite books along a small shelf. how many different ways can you arrange the? books, assum

ing that the order of the books makes a difference to? you
Mathematics
2 answers:
jok3333 [9.3K]3 years ago
4 0
That is permuations

that would be 10! or 10*9*8*7*6*5*4*3*2*1=3628800 ways

Verizon [17]3 years ago
4 0

Answer:

3,682,800 ways

Step-by-step explanation:

A permutation is the variation of the order or position of the elements of an ordered set.

Basically, if order doesn't matter, we talk about a combination. If order matters, it's about permutation.

In other words: A permutation is an orderly combination.

There are two types of permutations:

  Repeat is allowed: as a lock combination, it could be "333".

   Without repetition: for example the first three in a race. You cannot stay first and second at the same time.

In this case, factor notation is used, multiplying descending numbers.

<em>10! = 10x9x8x7x6x5x4x3x2x1 = 3,682,800 ways</em>

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Bernard’s walking speed is 8.4 kilometers per hour

Step-by-step explanation:

The pace length P is the distance between the rear of two consecutive footprints

The formula, n P = 140, gives an approximate relationship between n and P where,

  • n = number of steps per minute
  • P = pace length in meters
  • Bernard knows his pace length is 0.80 meters
  • The formula applies to Bernard’s walking

We need to calculate Bernard’s walking speed in meters per minute and in kilometers per hour

∵ n = number of steps per minute

∴ n unit is number / minute

∵ P = pace length in meters

∴ P unit is meter

- That means n P unit is meters/minute

∴ n P represents the speed in meters per second

∵ The formula applies to Bernard’s walking

∵ His pace length is 0.80 meters

∵ n P = 140

∴ n(0.8) = 140

- Divide both sides by 0.8

∴ n = 175

- That means he moves 175 steps per minute

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∴ His speed is 140 meters per minute

Bernard’s walking speed is 140 meters per minute

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- Divide the meters by 1000 and the minute by 60 to change

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∴ His walking speed = \frac{140}{1000} ÷ \frac{1}{60}

- Change ÷ to × and reciprocal the fraction after the division sign

∴ His walking speed =  \frac{140}{1000} × \frac{60}{1} = 8.4 km/h

Bernard’s walking speed is 8.4 kilometers per hour

Learn more:

You can learn more about the speed in brainly.com/question/5461619

#LearnwithBrainly

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