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
1) Vertical angles theorem
- Angles EOF and BOC are vertical angles.
2) Angle addition postulate
- Angles AOB and BOC add to form angle AOC.
3) Linear pair
- Angles that add to form a straight angl are a linear pair
4) Subtraction property of equality
- They subtracted angle AOC from both sides.
Answer:
answer is 38 yd
Step-by-step explanation:
area of square =1444 yd^2
z^2=1444 yd^2
z=
yd^2
z=38 yd
Hope this helps u!!
Hi.. U should do like this
4/5 mile in 50 min
X mile in 60 min
X=5/4 mile
Step-by-step explanation:
-3.5z - 2 + 1z - 3
Solving like terms
-2.5z - 5
