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kumpel [21]
1 year ago
12

A group contains n men and n women. how many ways are there to arrange these people in a row if the men and women alternate?

Mathematics
1 answer:
Kobotan [32]1 year ago
5 0

A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Learn more about permutation here

brainly.com/question/1216161

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Are rectangular garden has a perimeter of 280 feet the north side of the garden is 90 feet what is the length of the inside of t
attashe74 [19]

The length of the inside of the garden is<u> 50 feet.</u>

What is perimeter ?

A perimeter is a closed path that covers, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter.

There are various practical applications for calculating the perimeter. A calculated perimeter is the length of fencing needed to completely encircle a yard or garden. The perimeter (circumference) of a wheel/circle describes how far it will roll in one revolution. Similarly, the amount of string wrapped around a spool is proportional to the spool's perimeter; if the string length were correct, it would equal the perimeter.

Given :

The rectangular garden has a perimeter of 280 feet

breadth = 90 feet

Let the length be x.

Therefore according to the question,

2( 90 + x ) = 280

=> 90+ x = 140

=> x = 50

To learn more about perimeter click on the link below:

brainly.com/question/397857

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6 0
1 year ago
What is 16 divided by 14.72
Bogdan [553]
16/14.72=1.08695652174
6 0
3 years ago
Read 2 more answers
Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed
erik [133]

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



7 0
3 years ago
Sarah Smart purchased a renewable health club membership for $385 per year. She visited the club twice a month for two years. Wh
Marrrta [24]
Because $385 for two years is 385+385=770
Twice a month for two years=24x2=48
So 770/48=$16.04

Final answer $16.04

5 0
3 years ago
On Saturday Keisha rand 2.536 km on Sunday she ran 1.55 km how much for the did she run on Saturday then on Sunday
Butoxors [25]

Answer:

4.086 or rounded to 4.1

Step-by-step explanation

Since we need to combine the amounts he ran on each day we need to add. We need to add normally and then add the decimal after the number 4. make sure to add km at the end to label your answer.

4 0
2 years ago
Read 2 more answers
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