Calculating the total possibilities for license plate arrangements using combinations.
Car license plates in California take the form of 1RTY345. If zero cannot be used in the first position and repeats are allowed in the other 6 positions, how many license plates are possible?
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Let's check 1RTY345. Four of them are digits and 3 of them are letters. 0 cannot be used in the first position. ...
Solution Summary
The total possibilities for license plate arrangements are found using combinations.
Please see the attached file.
1) The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2 respectively. Let A denote the event {a, b, c} and B denote the event {c, d, e}. Determine the following:
a) P(A)
b) P(B)
c) P(A')
d) P(A U B)
e) P(A n B)
2) If the last digit
Can you check my answers and help me with B?
Preparing a plate of cookies for 8 children, 3 types cookies {chocolate chip, peanut butter, oatmeal}, unlimited amount of cookies in supply but only cookie per child.
One cookie per plate, one plate per child.
A) How many different plates can be prepared? C(8,3) = 56
B)
There are two small cities, Santa Clara and Santa Rosa. Santa Clara has 20 houses and Santa Rosa has 15 houses. An inspector must randomly choose 5 houses in Santa Clara and 7 houses in Santa Rosa to inspect. How many different ways can this be done?
PRACTICE PROBLEMS:
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A. rolling a sum of 11 on two fair six sided dice
B. drawing a red ni
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1) The three blue flags are together
2) The yellow flags are not together
3) The red flags occupy alternate positions in the line
4) If the
7. Let A(4,3) and B(7,11) be two points in a plane.
If all paths are equally likely, what would be the probability of choosing a path that begins with an up move and ends with an up move? (Each path is made up of moves that either go up one unit or over one unit to the right.)
8. In a state lottery game, anyone who picks 6 n
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a.)The books in each particular subject must stand together?
b.)Only the math books must stand together?
