We have been given two expressions
. We are asked to find the value of each.
To find 9P9, we will use permutations formula.
, where
P = Number of permutations,
n = The total number of objects in the set,
r = Number of objects being chosen from the set.


Using 

To find 9C9, we will use combinations formula.
, where
C = Number of combinations,
n = The total number of objects in the set,
r = Number of objects being chosen from the set.


Using 
Cancelling out
, we will get:


The answers differ because order. With permutations we care about the order of the elements, while with combinations we don't.
25
48
29.5
18.18 are the four answers respectively
Y=mx+b
plug in the point
3=-1*-4+b
3=4+b
b=-1
y=-1x-1
Number of cubes increases by 3 for each term.
an= 3n+1
Finding y intercept and x intercept is easy:
X intercept will be of the form (x,0) and y intercept will be of the form (0,y)
● If you put x=0 in the equation, you will get y-intercept.
● If you put y=0 in the equation, you will get x-intercept.
______________________________
Given equation: 2x - 4y = 10
◆ Put x = 0
2×0 - 4y = 10
=> -4y = 10
=> y = 10/(-4)
=> y = -5/2
Thus y intercept is (0, -5/2)
◆Put y = 0
2x - 4×0 = 10
=> 2x = 10
=> x = 10/2
=> x = 5
Thus the x intercept is (5,0)