You plan on investing equal amounts of money in each of 5 ventures
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Transcript You plan on investing equal amounts of money in each of 5 ventures
Your laptop computer requires you to designate a 4digit code using the digits 0 – 9 (you can use the same
digit more than once and order counts) as the
password to use your computer. How many passwords
are possible? 10
1.
2.
3.
4.
10,000
5,040
40
210
0%
1
0%
2
0%
3
0%
4
After graduation you plan on applying to graduate school at 5
universities selected from a list of 20 universities provided by
your advisor. To how many different groups of 5 universities
can you apply?
10
1.
2.
3.
4.
1,860,480
2,027,418
15,504
1,307,674
0%
1
0%
2
0%
3
0%
4
A bank vault containing $1,000,000 has a lock with the
numbers 0 through 29 on the dial. One 3-digit sequence of
numbers (each number must be different) opens the vault.
You want to break into the vault to get the money but you do
not know the 3-digit sequence that opens the lock. How many
3-digit sequences are possible?
10
1.
2.
3.
4.
24,360
21,924
4,060
3,654
0%
1
0%
2
0%
3
0%
4
Suppose there are 80 students in class today. How
many different simple random samples of 7 students
can be selected from the class?
10
1. 7!
2. 80P7
3. 80C7
4. 80!/7!
5. 73!
0%
1
0%
0%
2
3
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4
5
In a multi-million dollar lotto game a player must choose 5
different numbers from 1 to 55 (order is not important) and a
powerball number between 1 and 42. To win the jackpot you
must choose all 5 numbers and the powerball number. A
lesser prize of $200,000 is given if a player chooses the first 5
numbers correctly but chooses the incorrect powerball
number. What is the probability of winning $200,000?
10
1.
2.
3.
4.
1/3,478,761
41/3,478,761
1/417,451,320
41/146,107,962
0%
1
0%
2
0%
3
0%
4