1D Permutations
AMUSEMENT PARKS
board the ride, once it is their turn?
There are 7 choices for the first student, 6 choices for the second student, 5 choices for the third student, 4 choices
for the fourth student, 3 choices for the fifth student, 2 choices for the sixth student, and then only 1 choice for the
COMMITTEES In how many ways can a president, vice president, and secretary be randomly selected from a
class of 25 students?
are 2
DVDS You have five seasons of your favorite TV show on DVD. If you randomly select two of them from a shelf,
what is the probability that you will select season one first and season two second?
There are 5
.
A password consists of four letters, none of which are repeated. What is the probability that a
person could guess the entire password by randomly selecting the four letters?
There are 26 choices for the first letter, 25 choices for the second letter, 24 choices for the third letter, and just 23
The possibility that someone guesses the password in one try is
.
In the Battle of the Bands contest, in how many ways can the four participating bands be ordered?
There are 4 choices for the first band, 3 choices for the second band, 2 choices for the third band, and then only 1
A garage door code has 5 digits. If no digit is repeated, how many codes are possible?
the fourth digit and 6 numbers for the fifth digit.
So, the number of possible outcomes is:
10 9 8 7 6 = 30,240
LETTERS How many permutations are possible of the letters in the word friend ?
here are 6 choices for the first letter, 5 choices for the second letter, 4 choices for
the third letter, 3 choices for the fourth letter, 2 choices for the fifth letter, and just 1 choice for the last letter. So,
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How many different 3-digit numbers can be formed using the digits 9, 3, 4, 7, and 6? Assume no
number can be used more than once.
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1D
here are 6 choices for the first letter, 5 choices for the second letter, 4 choices for
the
third
letter,
3
choices
for
the
fourth letter, 2 choices for the fifth letter, and just 1 choice for the last letter. So,
Permutations
How many different 3-digit numbers can be formed using the digits 9, 3, 4, 7, and 6? Assume no
number can be used more than once.
here are 5 choices for the first digit, 4 choices for the second digit, and 3 choices for
the third digit. So, there are
CAPTAINS The members of the Evergreen Junior High Quiz Bowl team are listed. If a captain and an assistant
captain are chosen at random, what is the probability that Walter is selected as captain and Mi-Ling as co-captain?
There are 10 choices for the captain and 9 choices for the cocaptain/co-captain in all. The probability of one of these occurring is
.
BASEBALL
in the second seat?
st
There are 5 choices for the 1 seat and 4 choices for the 2
nd
.
Alex, Aiden, Dexter, and Dion are playing a video game. If they each have an equally likely chance of
getting the highest score, what is the probability that Dion will get the highest score and Alex the second highest?
There are 4 choices for the highest scorer and 3 choices for the 2
nd
.
BLOCKS
the letters in the order TIGER.
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There are
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There are 4 choices for the highest scorer and 3 choices for the 2
nd
.
1D Permutations
BLOCKS
the letters in the order TIGER.
There are
being randomly chosen is
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.
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