There are
ways of picking 2 of the 10 available positions for a 0. 8 positions remain.
There are
ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's
way of doing that.
So we have

The last expression has a more compact form in terms of the so-called multinomial coefficient,

Answer:
The limit of this function does not exist.
Step-by-step explanation:


To find the limit of this function you always need to evaluate the one-sided limits. In mathematical language the limit exists if

and the limit does not exist if

Evaluate the one-sided limits.
The left-hand limit

The right-hand limit

Because the limits are not the same the limit does not exist.
Answer:
the center is (-4,7) and the radius is 3
Step-by-step explanation:
The center of a circle can be found using the equation
and is (h,k) from it. Notice h and k are the opposite value as in the equation.
First write the equation in this form.
Complete the square with each variable to find what numbers should go in place of the question marks.
Add 16 and 49 to both sides of the equation.
So the center is (-4,7) and the radius is 3.