Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Answer:
86400 ways
Step-by-step explanation:
Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.
Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.
After picking the places for the women, we will now fill each gap between two women with a man.
We have 6 men. Thus, number of ways to arrange the men is 6!
Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways
<span>The earnings by a stock invested at r% for n years is obtained by the formular A = P(1 + r)^n; where P is the initial investment = 1,500; r is the interest rate = 10% and n is the numberof years of the investment. Here A = 1,500(1 + 0.1)^18 = 1,500(1.1)^18 = 8,339.88.Hope this helps. Let me know if you need additional help!</span>
The fraction 3/26 is alread in the simplest form, so it isn't possible to reduce it any further.
This is a PROPER FRACTION once the absolute value of the top number or numerator (3) is smaller than the absolute value of the bottom number or denomintor (26).
The fraction 3/26 is equal to 3÷26 and can also be expressed in decimal form as 0.115385.
Answer:
the solution to the equation is 8. Any value apart from 8 is not a solution
Step-by-step explanation:
Given the equation
6/3x+2 - 1/x-4 = 0
6/3x+2 = 1/x-4
Cross multiply
6(x-4) = 3x+2
6x - 24 = 3x+2
6x-3x = 2 + 24
3x = 24
x = 24/3
x = 8
Hence the solution to the equation is 8. Any value apart from 8 is not a solution
