Answer:
36000 different ways
Step-by-step explanation:
If we have 5 boys and 3 girls, the total number of people we have will be 5+3 = 8 people. If there are no restrictions, this 8 people can be arranged in 8! different ways.
8! = 8*7*6*5*4*3*2*1
8! = 40,320 ways.
If 3 of the girls are to sit together, then we will take the girls as an entity. The total number of people if the girls are treated as one will be 5 boys and a girl which is 6. They can all be arranged in 6! ways but also note that the 3 girls can be rearranged among themselves in 3! ways. The total number of arrangement if the 3 girls are to sit together will be 6!*3!.
6!*3! = 6*5*4*3*2*3*2
6!*3! = 4320 different ways
The number of different ways if no girls are to seat together = 8!- (6!*3!)
= 40,320 - 4,320
= 36000 different ways
The answer is only one solution
<span>Three or more points.. </span> Two points are trivially collinear since two points<span>determine a line.</span>
Answer:
See below.
Step-by-step explanation:
There is an infinite number of lines parallel to y = -3/2x - 1.
They have the same slope, -3/2, and a different y-intercept.
Examples:
y = -3/2x + 1
y = -3/2x
y = -3/2x - 5
<u>8th Grade: </u>90 x 0.80 = 72
<u>7th Grade:</u> 80 x 0.75 = 60
Conclusion: 8th Graders like pop music more because 72 out of the 90 in 8th grade Dave surveyed enjoy it, compared to the 60 out of 80 in 7th grade that enjoyed it.
