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
Answer:
P1= -2/3
P2= -10/3
Step-by-step explanation:
take the sq rt of both sides and use both + and - roots
3P+6=4
3P+6=-4
subtract 6 from both sides for each one
3P=-2
P=-2/3
3P=-10
P= -10/3
Answer: 1 pound of cheese cost $4.2
Step-by-step explanation:
Nola purchased 2.5 pounds of cheese for 10. $50
Her mother purchased 3 pounds of the same cheese for $12.60
If the cost of the cheese varies directly with the number of pounds purchased, it means that the higher the pounds of cheese purchased, the higher the cost
To determine the the cost of 1 pound of cheese, we wound divide the the cheese by the number of pounds bought.
It becomes 10.5/2.5 = 4.2
Answer:
Volume = 52.5
Step-by-step explanation:
volume of a rectangular 3d shape can be calculated by length*width*height. In this case:
7*10*0.75 = 52.5
