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:
Men can be concluded to enjoy shopping electronic activity more than women, but in weekend days. The case might not hold true for week working days also.
Step-by-step explanation:
To study : whether the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy that.
- Out of 67 men, 24 said they enjoyed the activity
So, % of men enjoying the activity = (24 / 67) x 100
= 35.82%
Out of 24 women, 8 said that they enjoyed the activity
So, % of women enjoying the activity = (8 / 24) x 100
= 33.33%
If 532,475 warranties were given, it means that 532,475
warranties were sold. The gross profit should be, 532,475 * $830 = $441954250.
But then, this would still be subtracted with 12% of the warranties since they
gave it back to the customers. Hence,
Profit = $441954250 – 0.12(532,475)($225)
Profit = $427,577,425
Answer:
3.74% probability that her baby has T18
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test.
Event B: The baby having T18.
T18 occurs in only 1 in 2500 pregnancies in the U.S.
This means that 
The probability of a positive test result for a baby with T18 is 0.97.
This means that 
The overall probability of a positive test result is 0.010384.
This means that 
What is the probability that her baby has T18

3.74% probability that her baby has T18
Answer:
<h2>$128</h2>
Step-by-step explanation:
This problem is on rate.
firstly we have to find the rate at which 1 ton is sold
given that 3/8 ton is sold for $24
hence 1 ton will be sold for X
cross multiply
X = 24/3/8
inverse the denominator and multiply the result with the numerator we have
X= 24*8/3
X= $64
Now having found out that 1 ton cost $64
2 tons will cost =64*2
= $128
Therefore at this rate two tons will cost $128