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Ratling [72]
3 years ago
13

Compute the permutations and combinations.A farmer buys 2 cows, 3 pigs, and 10 sheep from a seller who has 7 cows, 4 pigs, and 1

0 sheep. How many choices of animals does he have?845426
Mathematics
2 answers:
castortr0y [4]3 years ago
8 0

Answer:

84 :)

Step-by-step explanation:

aliya0001 [1]3 years ago
6 0

Farmer has 7 choice for cow out of which he choose only 2

4 choice for pig and he choose only 3 pigs

10 choice for sheep and he choose all 10 sheep

Number of ways of choosing cows = 7C2

Number of ways of choosing pigs = 4C3

number of ways of choosing sheep = 10C 10

all these three groups of different animals can make different groups when taken together

That is : 7C2 * 4C3 * 10C10 = 21 * 4 * 1 = 84 ways

Answer : 84

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The board of an internet start up company has sixteen members. if one person is in charge of research and one is in charge of ma
Brilliant_brown [7]

The number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

The permutation is the way of choosing a set of objects from a larger set of objects in a specific sequence.

If we are choosing r number of objects, from n number of objects in a specific sequence, then we follow permutation, and it is given as:

nPr = n!{(n - r)!}.

In the question, we are asked to find the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members.

Since the position is to be chosen in a specific order, we will follow permutation.

The number of positions to be chosen (r) = 2.

The number of members (n) = 16.

Thus, the number of ways is given as:

nPr = n!{(n - r)!},

or, 16P2 = 16!{(16 - 2)!},

or, 16P2 = 16!/14! = 15*16 = 240.

Thus, the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

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brainly.com/question/4658834

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6 0
2 years ago
Which number comes next in this series<br> A) 4<br> B) 21<br> C) 31<br> D) 34
Greeley [361]
What is the series you are referring too?
3 0
3 years ago
Constance wants to purchase an school jacket. She saw the same jacket at a few stores. Store A had the jacket for 15% off the or
soldi70 [24.7K]

Store A will be the better buy.

The price will be $53.70 after sales tax at store A.

Step-by-step explanation:

Price of Jacket at store A = $59.60

Discount = 15%

Discount Amount = \frac{15}{100}*59.60\\

Discount Amount = 0.15*59.60=\$8.94

Price after discount = Original price - Discount amount

Price after discount = 59.60 - 8.94 = $50.66

Price of Jacket at store B = $50.99

The price at store A becomes less than store B after discount, therefore, buying from store A is better.

Sales tax = 6%

Sales tax amount = \frac{6}{100}*50.66

Sales tax amount = 0.06*50.66=\$3.0396

Price after sales tax = Discount price at store A + Sales tax amount

Price after sales tax = 50.66 + 3.0396 = $53.6996

Rounding off to nearest hundredth;

Price after sales tax = $53.70

The price will be $53.70 after sales tax at store A.

Keywords: percentage, addition

Learn more about percentages at:

  • brainly.com/question/10557938
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8 0
3 years ago
In an arithmetic sequence, if you are given a3=93 and a5=135, find a=100. Must show work to receive full credit.
Elanso [62]

The 100th term of the sequence is 2130.

<h3>How to calculate the value?</h3>

a3 = a + 2d = 93

a5 = a + 4d = 135

Compute both equations

(4d - 2d) = (135 - 93)

2d = 42

d = 42/2 = 21

a + 2d = 93

a + 2(21) = 93

a + 42 = 93

a = 94 - 42 = 51

100th term will be:

= a + 99d

= 51 + 99(21)

= 51 + 2079

= 2130

Learn more about sequence on:

brainly.com/question/6561461

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5 0
1 year ago
You earn $7.50 per hour and need to earn $35. Write and solve an inequality to find how many hours you must work
Arada [10]

Answer:

7.50 x  = 35 Answer is around 4.6 hours

Step-by-step explanation:

Divide 35 by 7.50 to find the number of hours.

Hope this helps! If it does, please mark me brainliest! Thank you! ;)

8 0
3 years ago
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