THAT SHOULD BE THE ANSWER
Ambitious
268 answers
76.4K people helped
This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.
For the first digit you can choose from the numbers 0,1,2...,9 or 10 choices.
Now the next 5 digits will all be letters all being different.. recall there are 26 letters in the alphabet.. for our second digit we have 26 choices, for our third digit we have 25 choices(because we already used one of the 26 letters and we can't repeat), for our fourth digit we have 24 choices.... and well I'm sure you are catching on by now...
Here is what the whole calculation looks like:
10(26)(25)(24)(23)(22) = 78,936,000
Step-by-step explanation:
What can be said about the convergence or divergence of the following series? summation n=0 to infinite (-1)^n Cn9^n
Answer:
The series diverges
Step-by-step explanation:
Given.
The center of convergence of the series, ΣCnx^n = 0 (for n = 0 to ∞)
The interval of the convergence is of the form (-k,k)
One or both the end points may be included in the intervals of convergence.
Also, given that the series diverges when x = 7; this implies that the interval of convergence is smaller than {-7,7}
The series
Σ(-1)^n Cn9^n (for n = 0 to ∞)
= Σ Cn(-9)^n (for n = 0 to ∞)
This is obtained after substituting -9 for x in ΣCnx^n = 0
So, x = -9
This is outside the boundary {-7,7}.
Hence, the given series diverges
They are already in order from greatest to least
Answer:
d.
Step-by-step explanation:
you would put 4 in the x places and 2 in the yplaces and then you would distribute 4^2 +3(2)/4(2)
16+6/2=22/8=2 3/4