Answer:
120
Step-by-step explanation:
Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Now we can use the permutation formula:
The 3*2*1 cancels out and leaves us with:
So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.
<u><em>Answer:</em></u>
<u><em /></u>
<u><em>Explanation:</em></u>
<u>Before we begin, remember the following rules:</u>
<u>1- Distribution property:</u>
<u />
<u>2- Simplification of fractions:</u>
<u />
<u>3- Signs in multiplication:</u>
+ve * +ve = +ve
-ve * -ve = +ve
+ve * -ve = -ve
<u>Now, for the given problem, we have:</u>
<u></u>
<u>Starting with the distributive property:</u>
<u />
..................>This corresponds to option 1
<u>Now, we simplify the output from the above step:</u>
<u />
................> This corresponds to option 5
Hope this helps :)
Answer:
994
Step-by-step explanation:
First, let's translate the statement into a mathematical expression.
Now, we can evaluate the expression when t = 2.
Answer:
No
Step-by-step explanation:
At one bucket per roll, four buckets will color four rolls, not 5.
__
The company cannot color 5 rolls of fabric with 4 buckets of dye.
