<h2>
Answer:</h2>
The different possible routes are :
181440
<h2>
Step-by-step explanation:</h2>
We are asked to find the number of different routes that are possible to choose 7 locations among the 9 locations remaining.
This means that we have to chose the locations and also we have to arrange them in different orders according to the different order of locations.
The method we have to use is a method of permutation.
When we have to chose and arrange r items out of a total of n items then the formula is given by:

Here we have: n=9
and r=7
Hence, the different possible routes are:

Hence, the answer is:
181440
Answer:
x is greater than or equal to 42 inches (I can't do the smybol for it)
Step-by-step explanation:
So, we will start by subtracting the orange cats
5-2=3 orange cats left
Then the black cats
14-6=8
Now we will add them back together:
8+3=11 Cats remaining
d = 3 , a₁₂ = 40 and S
= 7775
In an arithmetic sequence the nth term and sum to n terms are
<h3>• a

= a₁ + (n-1)d</h3><h3>• S

=

[2a + (n-1)d]</h3><h3>
where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ =

[(2×7) +(99×3)</h3><h3> = 25(14 + 297) = 25(311)= 7775</h3>