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Harlamova29_29 [7]
3 years ago
13

What is the difference between the permutations rule and the combinations​ rule? Choose the correct answer below. A. The permuta

tions rule takes order into​ account, whereas the combinations rule does not. B. The permutations rule takes replacement into​ account, whereas the combinations rule does not. C. The combinations rule takes replacement into​ account, whereas the permutations rule does not. D. The combinations rule takes order into​ account, whereas the permutations rule does not.
Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer:

A. The permutations rule takes order into​ account, whereas the combinations rule does not.

Step-by-step explanation:

Permutation is an orderly form of combination. They both deal with numbers an element can be arranged in different ways.

The main difference is that permutation takes into account the order in which the arrangement takes place while combination doesn’t take that into account.

Combination formula: nCr = n! / r! * (n - r)!

Permutation formula: P(n,r)=n! (n−r)!

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Jacob and Ali want to run from one corner of a football field to the opposite corner. The rectangular football field is 50 yards
svet-max [94.6K]

Answer:

Jacob ran 40 yards more than Ali.

Step-by-step explanation:

Football field is in the shape of a rectangle having dimensions 120 yards × 50 yards

Since Jacob runs around the perimeter of the field from one corner to other corner, therefore, distance run by Jacob = (\text{Length+width})

Distance run by Jacob = 50 + 120 = 170 yards

Ali runs through the middle of the field diagonally on a straight line.

Therefore, distance covered by Ali = \sqrt{\text{length}^{2}+\text{width}^{2}}

= \sqrt{(50)^{2}+(120)^{2}}

= \sqrt{2500+14400}

= \sqrt{16900}

= 130 yards

Now difference between the distance covered by Jacob and Ali

= 170 - 130

= 40 yards

Therefore, Jacob ran 40 yards more than Ali.

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3 years ago
A bouquet of lilies and tulips has 20 flowers.
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Answer:8 lilies and 12 tulips; total of 20 flowers.

Step-by-step explanation:

8 lilies for $3 each equals $24. 12 tulips for $2 each equals $24. Add that together and the total for the bouquet is $48.

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Test worth 70 points test score of 90%
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To calculate how many points this person got, take 90% of the total:

0.9(70) = 63

A test score of 90% is 63 points out of 70.
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