Q.17> In how many ways 4 arts students and 4 science Students be arranged alternative at a round table?
1 answer:
Using the arrangements formula, it is found that there are 1152 ways for the students to be arranged alternatively at the table.
<h3>What is the arrangements formula?</h3>The number of possible arrangements of n elements is given by the factorial of n, that is:
In this problem, we have that:
- With the art students at the odd numbered places and the science students at the even numbered places, there are 4! x 4! ways.
- Same number of ways if they exchange, art even and science odd.
Hence the number of ways is:
2 x 4! x 4! = 1152
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Answer:
The inequality for is:
Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle = ft
Perimeter is at least 300 ft
To write an inequality for .
Solution:
Perimeter of a rectangle is given as:
⇒
where represents length of the rectangle and
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒
Using distribution:
⇒
Simplifying.
⇒
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒
Solving for
Subtracting both sides by 16.
⇒
⇒
Dividing both sides by 2.
⇒
⇒ (Answer)
Answer:
Step-by-step explanation:
we just multiply numerator by numerator and denominator by denominator
3/4x22/7
66/28x2/1
132/28
4 20/28
4 5/7
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