Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways
Answer:
1000
Step-by-step explanation:
Answer:
See attachment
Step-by-step explanation:
We want to graph the line with slope
![m = \frac{2}{5}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B2%7D%7B5%7D%20)
and y-intercept ,
![b = - 7](https://tex.z-dn.net/?f=b%20%3D%20%20-%207)
The equation of this line is
![y = \frac{2}{5}x - 7](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B2%7D%7B5%7Dx%20-%207)
Starting at -7 on the y-axis, we run 5 units and rise 2 units right.
Then draw a line through the y intercept and the new point
The graph is shown in the attachment.
Answer:
The arrangements of things following one after another in time