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Aloiza [94]
2 years ago
5

Robin has 10 books. There is enough space on a shelf for 4 books. In how many ways can 4 of the 10 books be

Mathematics
1 answer:
aliina [53]2 years ago
8 0

The number of arrangements of the books is an illustration of permutation

The books can be arranged in 5040 ways

<h3>How to determine the number of arrangements?</h3>

The given parameters are:

  • Total books, n = 10
  • Books to arrange, r = 4

The number of arrangements is calculated as:

Ways = nPr

Substitute the given values

Ways = ¹⁰P₄

Apply the permutation formula

Ways = 10!/(10 - 4)!

Evaluate the quotient

Ways = 5040

Hence, the books can be arranged in 5040 ways

Read more about permutation at:

brainly.com/question/12468032

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Audrey's father gave her 20 tokens to use at Action
rjkz [21]

Answer:

5 tokens

Step-by-step explanation:

<u><em>She spent 1 out of every 4 tokens,</em></u> meaning there are a couple of sets of 4 that we don't know many they are yet that she kept taking from every set 1 token, so if we do,

(Her total tokens) 20 ÷ 4 = 5.
This means that there's 5 sets, then we take 1 from every set so 1 × 5 = 5, that's it

I don't know if that was quite clear tho you can imagine it in a more virtual than mathematical way if you like,

Now Imagine you have 20 tokens in your hand, and you divide them into 5 sets, each set is a set of 4, you keep 3 in your hand then put 1 on a table, then you do this 5 times you'll end up with 5 tokens on the table and 15 in your hand.

<em>You can try that yourself if you want it to be more clear.</em>

Take 20 small pieces of paper, sticky notes or coins whatever you like, then divide them into sets of 4, then lastly take only 1 from each set (and by the way you'll notice that dividing each set into a set of 4 will make you automatically end up with 5 sets) now count all the 1's you collected from each set
they should be 5.

8 0
2 years ago
Read 2 more answers
Pam has 15 candies in her bag. Her mother puts another handful of candies into the bag. Pam counts all the candies and she now h
crimeas [40]

Answer:

Step-by-step explanation: 15 + X = 27 Candies

Any Variable Will Work.

6 0
2 years ago
Read 2 more answers
Please help me fast!!!!!!!!!!!!!
Luba_88 [7]
4/11 = 0.36 (repeat: 36)
5/11 = 0.45 (repeat: 45)
6/11 = 0.54 (repeat: 54)
7/11 = 0.63 (repeat: 63)
7 0
3 years ago
Read 2 more answers
What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
sleet_krkn [62]

Answer:

1135.38

Step-by-step explanation:

100%->1015

100-6=94

94%->954.1

--------------------------------------------------

100%->954.1

119%->1135.379

       ≈1135.38

3 0
2 years ago
Write out the first 5 outpouts of g(x)=2^x starting with G(1). If only you knew that the value of g(15) how would you determine
gtnhenbr [62]

The first 5 outputs are:

\begin{array}{c|c}x&2^x\\1&2\\2&4\\3&8\\4&16\\5&32\end{array}

As you can see, the outputs keep doubling each time we increment x by 1.

This can be written formally, observing that if you know the value of 2^x, the next value will be

2^{x+1}=2^x\cdot 2

So, again, we've shown that the next value is twice the previous one, so you have

g(16)=2g(15)

4 0
3 years ago
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