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Statistics and Probability Videos 134 videos
SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median...
SAT Math 1.4 Statistics and Probability. If two standard 6-sided dice are rolled, what is the probability that the sum of the dice will be gre...
SAT Math 1.5 Statistics and Probability. If Silas draws one card, then places it in his pocket and draws another, what is the probability that...
SAT Math 2.3 Statistics and Probability 229 Views
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Description:
SAT Math 2.3 Statistics and Probability
Transcript
- 00:02
Here’s your shmoop du jour, brought to you by Permutations.
- 00:06
The preferred hairstyle of mathematicians.
- 00:09
Six students are arranged in a row.
- 00:12
How many different ways can this happen? And here are the potential answers…
- 00:18
When we are arranging students in a row, we are counting permutations.
Full Transcript
- 00:26
The easy way to solve one of these permutation problems is
- 00:28
to simply take the factorial of the number we are ordering.
- 00:35
In this case…it's 6.
- 00:37
We start with 6 spaces to place the students.
- 00:41
When we go to place the first student, we have 6 to choose from.
- 00:45
Then, for our next slot, there are only 5 left.
- 00:47
With each successive space, there is one less
- 00:50
choice, since another was used up in the previous slot.
- 00:54
Now, to find the possible permutations of students, we simply multiply the number of
- 00:58
choices for all slots together.
- 01:01
Which equals 720, that's 6 factorial.
- 01:04
So we get 720 possible outcomes. Our answer is just (C).
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