a. If any letters and numbers are allowed, there will be
... 26×26×26×10×10×10 = 260³ = 17,576,000 possible plates
b. If the letters and numbers cannot repeat, there will be
... 26×25×24×10×9×8 = 11,232,000 possible plates with no repeats
c. The proabaility that a randomly chosen plate has no repeats is
... 11,232,000/17,576,000 = 108/169 ≈ 0,63905
_____
When no repeats are allowed, the first letter choice can be any of the 26 letters. The second letter choice must exclude the first letter, so there are only 25 different letters to choose from. Likewise, the third letter choice cannot be either of the first two, so there are only 24 letters to choose from. The reasoning applies to numbers in similar fashion.
The answer is D. 1.601 * 10^9
Answer:
4.95m
Step-by-step explanation:
Let the length of longer and shorter pipe be x and y respectively..
given,
x/y=9/2...(i)
x-1.65=3y ...(ii)
in eqn ii..
x-1.65=3y
or, x/y - 1.65/y = 3
or, 9/2-1.65/y =3
or, 4.5-3 = 1.65/y
or, y=1.65/1.5
•°• y = 1.1m
now,
x/y = 9/2
or, x/1.1 = 4.5
x= 4.5×1.1
•°• x= 4.95m
thus, the length of the longer pipe is 4.95m
The answer to your question is 7/5
So for this you need to find 15% of 60. There are a few ways to do this but I prefer to do it like this.
First, find 10% of 60. This can be found by dividing 60 by 10, because 100%/10% is 10.
This gives 10%=6
5% is half of 10%, so divide your answer for 10% (6), by 2.
This gives 5%=3
We needed 15%, so we add our 10% and 5% together, to get 9.
15% of 60 is 9, meaning there are 9 puppies.
Hope this helps!
