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.
Answer:
Slope = -3/7
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1.
Substitute for the points.
5-2/3-10 = -3/7
Answer:
3/10 or 30% chance red and green being pulled
Step-by-step explanation:
to get your fraction you do your amount wanted pulled (red and green) over the amount total (all of the colors)
24 + 12 = 36
40 + 24 + 12 + 24 + 20 = 120
36/120 now reduce 6
6/20 reduce by 2
3/10
A branch of mathematics that uses variables is algebra
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