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3 years ago

14

Timothy has $1111 and Mary has $777. How much money does Timothy need to give Mary, so that they would have the same amount of m

oney

1 answer:

ZanzabumX [31]3 years ago

3 0

Answer:

167

We do 1111+777 for the total and that is 1888

1888/2=944

then 1111-944=167; then they will have equal amounts!!

LUV YA!!

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The number of ways of the books can be arranged are illustrations of permutations.

When the books are arranged in any order, the number of arrangements is 3628800
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$\mathbf{Novels = 3}$

$\mathbf{Mathematics = 2}$

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<u>(a) The books in any order</u>

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If the mathematics books, must be together

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$\mathbf{Maths\ together = 2 \times 9!}$

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$\mathbf{Maths\ not\ together = Total - Maths\ together}$

This gives

$\mathbf{Maths\ not\ together = 3628800 - 2 \times 9!}$

$\mathbf{Maths\ not\ together = 2903040}$

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We have:

$\mathbf{Novels = 3}$

$\mathbf{Chemistry = 5}$

First, arrange the novels in:

$\mathbf{Novels = 3!\ ways}$

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$\mathbf{Chemistry = 5!\ ways}$

Now, the 5 chemistry books will be taken as 1; the novels will also be taken as 1.

Literally, the number of books now is:

$\mathbf{n =Mathematics + 1 + 1}$

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$\mathbf{n =4}$

So, the number of arrangements is:

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$\mathbf{Arrangements = ^7P_3}$

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$\mathbf{Total = 6! \times 2!\times ^7P_3}$

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Read more about permutations at:

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