118,813,760 different combination license plates can the country produce
<h3 /><h3>permutations and combinations:</h3>
permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.
given that
in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet
X = 10 × 26 × 26 × 26 × 26 × 26
= 10 × 11881376
= 118,813,760
118,813,760 different combinations license plates can the country produce
To learn more about combinations:
brainly.com/question/19692242
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Answer:
The time taken by both boys to complete work = 2.73 hours
Step-by-step explanation:
Time taken by rayan to dig hole 
= 5 hours
Time taken by castel to dig hole 
= 6 hours
Now the time taken by both persons working together
Put all the values in above formula we get
T = 2.73 hours
Therefore the time taken by both boys to complete work = 2.73 hours
Answer:
The probability of eating pizza given that a new car is bought is 0.952
Step-by-step explanation:
This kind of problem can be solved using Baye’s theorem of conditional probability.
Let A be the event of eating pizza( same as buying pizza)
while B is the event of buying a new car
P(A) = 34% = 0.34
P(B) = 15% = 15/100 = 0.15
P(B|A) = 42% = 0.42
P(B|A) = P(BnA)/P(A)
0.42 = P(BnA)/0.34
P(B n A) = 0.34 * 0.42 = 0.1428
Now, we want to calculate P(A|B)
Mathematically;
P(A|B = P(A n B)/P(B)
Kindly know that P(A n B) = P(B n A) = 0.1428
So P(A|B) = 0.1428/0.15
P(A|B) = 0.952
Answer:
6 units
Step-by-step explanation:
Use the distance formula, 
.
Plug the x and y values from the given points into the distance formula:
![\sqrt{([-4]-2)^{2}+(5-5)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28%5B-4%5D-2%29%5E%7B2%7D%2B%285-5%29%5E%7B2%7D%7D)
.
Solve the square root:
= 
= 
