Just put each number in different positions.
425
542
254
All of these numbers are different and use the same 3 digits
The coach can select the captain in 20 ways (i.e. from all the available 20 players), and he can select the co-captain in 19 ways (i.e. after selecting the captain, there will be 19 people left).
Therefore, the coach can select the captain and the co-captain in 20 x 19 = 380 ways.
Answer:
x = 3 and x = -12
Step-by-step explanation:
To solve an absolute value equation, you create two equations, one where the right side is negated and one where the right side isn't:
| 2x + 9 | = 15 becomes:
2x + 9 = 15 and 2x + 9 = -15
2x = 6 and 2x = -24
x = 3 and x = -12
Why this works is that |-x| and |x| will both be equal to 0. Remember that absolute value is the distance a number is away from 0.
<span>The correct answer is 216x</span>⁶<span>y</span>⁵<span>.
Explanation:
The first thing we do is raise the last monomial to the third power.
(4xy)(2x</span>²<span>y)(3xy)</span>³
<span>=(4xy)(2x</span>²<span>y)(3</span>³<span>x</span>³<span>y</span>³<span>)
=4xy(2x</span>²<span>y)(27x</span>³<span>y</span>³<span>).
Now we can multiply the first two monomials. When we multiply powers with the same base, we add the exponents:
8x</span>³<span>y</span>²<span>(27x</span>³<span>y</span>³<span>).
We multiply these last two monomials, again adding the exponents:
216x</span>⁶<span>y</span>⁵<span>.</span>
