Let’s look at the permutations of the letters “ABC.” We can write the letters in any of the following ways:
ABC
ACB
BAC
BCA
CBA
CAB
Since there are 3 choices for the first spot, two for the next and 1 for the last we end up with (3)(2)(1) = 6 permutations. Using the symbolism of permutations we have:

. Note that the first 3 should also be small and low like the second one but I couldn’t get that to look right.
Now let’s see how this changes if the letters are AAB. Since the two As are identical, we end up with fewer permutations.
AAB
ABA
BAA
To make the point a bit better let’s think of one A are regular and one as bold
A.
ABA and AB
A look different now because we used bold for one of the As but if we don’t do this we see that these are actual the same. If they represented a word they would be the same exact word.
So in this case the formula would be

. We use 2! In the denominator because there are 2 repeating letters. If there were three we would use 3!
Hopefully, this is enough to let you see that the answer is A. The number of permutations is limited by the number of items that are identical.
Answer:
High possibility it is A, C, D. I apologize if wrong
Step-by-step explanation:
Answer:
$950.51
Step-by-step explanation:
First, find the area of the room, the total square footage, so we know how many tiles to buy. 15*14=210. 210 tiles to buy, $4.25 each. 210*4.25=892.5. If you're not allowed to use a calculator, you can do (210*4)+(210*0.25). The cost before tax is $892.50. What is 6.5% of 892.5? The answer is 58.0125, however, we can't go past the second decimal point or the hundredths digit when deal with money. Rounding to the nearest hundredth, you get $58.01. Add this to cost before tax, 892.50+58.01=950.51. The total cost is $950.51
Answer:
<T = 83
Step-by-step explanation:
In a parallelogram <M = < P and < N = <T (opposite angles are congruent)
We also know that <M + <N = 180 ( consecutive angles are supplementary)
<M + <N = 180
6x+10 + 5x+10.5 = 180
Combine like terms
11x+20.5 = 180
Subtract 20.5 from each side
11x +20.5-20.5 = 180-20.5
11x = 159.5
Divide each side by 11
11x/11 = 159.5/11
x=14.5
We can find <N
<N = 5x+10.5
= 5(14.5)+105
=72.5 +10.5
= 83
<N = <T = 83
Answer:
0.412
Step-by-step explanation:
Look at the ones that is below 17 g