If
then
The ODE in terms of these series is
We can solve the recurrence exactly by substitution:
So the ODE has solution
which you may recognize as the power series of the exponential function. Then
There are 9 balls in a hat the balls are numbered 1-9 you need to choose 3 of the balls. How many possible combinations are ther
1 answer:
You might be interested in
There are ways of getting exactly 5 heads in 10 tosses. There are
possible outcomes. So the probability of getting exactly 5 heads is
Answer:
720
Step-by-step explanation:
I will use the following counting principle:
Product rule: if there are n ways of doing something, and m ways of doing another thing, there are n×m ways of doing both things.
First, we have to choose the 3 people that will be in the first row. This is a 3-element subset of the set of six people, therefore there are ways of doing this.
Now, we have to arrange the order of the 2 lrows. Each one has 3 people, so there are 3!=6 ways to form one rows. Hence, there are 3!²=36 ways of arranging the two rows.
By the product rule, there are 20×36=720 ways of arrange the officers.