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.
Answer:
True
Step-by-step explanation:
The pages left = total pages - the pages read
(10b + 3) - (-2b +78)
10b + 2b + 3 - 78
12b - 75
The pages left is equal to 12b - 75
Answer:
Sofia bought some Treasury bonds that mature in nine months.
Step-by-step explanation:
it matures in only 9 months
Answer:
44,286
Step-by-step explanation:
The rule is multiplying by -3.
The sequence goes -3, 9, -27, 81, -243, 729, -2187, 6561, -19683, 59049
Add all of those up and you get 44,286
The answer is 120. Because inscribed angle is Half of the arc measure. Double 60 and we get 120.