PPT - Permutations & Combinations | SSC CGL Tier 2 - Study Material, Online Tests, Previous Year PDF Download

 Page 1


1)  Permutation
2)  Combination
Permutations and Combinations
Permutations and Combinations
?
 Determine probabilities using permutations.
?
 Determine probabilities using combinations.
Page 2


1)  Permutation
2)  Combination
Permutations and Combinations
Permutations and Combinations
?
 Determine probabilities using permutations.
?
 Determine probabilities using combinations.
Permutations and Combinations
Permutations and Combinations
An arrangement or listing in which order or placement is important is called a
permutation.
Simple example:    “combination lock”
31 – 5 – 17         is NOT  the same as           17 – 31 – 5 
Page 3


1)  Permutation
2)  Combination
Permutations and Combinations
Permutations and Combinations
?
 Determine probabilities using permutations.
?
 Determine probabilities using combinations.
Permutations and Combinations
Permutations and Combinations
An arrangement or listing in which order or placement is important is called a
permutation.
Simple example:    “combination lock”
31 – 5 – 17         is NOT  the same as           17 – 31 – 5 
Permutations and Combinations
Permutations and Combinations
An arrangement or listing in which order or placement is important is called a
permutation.
Simple example:    “combination lock”
31 – 5 – 17         is NOT  the same as           17 – 31 – 5 
Though the same numbers are used, the order in which
they are turned to, would mean the difference in the lock 
opening or not. 
Thus, the order is very important.
Page 4


1)  Permutation
2)  Combination
Permutations and Combinations
Permutations and Combinations
?
 Determine probabilities using permutations.
?
 Determine probabilities using combinations.
Permutations and Combinations
Permutations and Combinations
An arrangement or listing in which order or placement is important is called a
permutation.
Simple example:    “combination lock”
31 – 5 – 17         is NOT  the same as           17 – 31 – 5 
Permutations and Combinations
Permutations and Combinations
An arrangement or listing in which order or placement is important is called a
permutation.
Simple example:    “combination lock”
31 – 5 – 17         is NOT  the same as           17 – 31 – 5 
Though the same numbers are used, the order in which
they are turned to, would mean the difference in the lock 
opening or not. 
Thus, the order is very important.
Permutations and Combinations
Permutations and Combinations
The manager of a coffee shop needs to hire two employees, one to work at the 
counter and one to work at the drive-through window.  Sara, Megen, Tricia and Jeff
all applied for a job.  How many possible ways are there for the manager to place
the applicants?
Page 5


1)  Permutation
2)  Combination
Permutations and Combinations
Permutations and Combinations
?
 Determine probabilities using permutations.
?
 Determine probabilities using combinations.
Permutations and Combinations
Permutations and Combinations
An arrangement or listing in which order or placement is important is called a
permutation.
Simple example:    “combination lock”
31 – 5 – 17         is NOT  the same as           17 – 31 – 5 
Permutations and Combinations
Permutations and Combinations
An arrangement or listing in which order or placement is important is called a
permutation.
Simple example:    “combination lock”
31 – 5 – 17         is NOT  the same as           17 – 31 – 5 
Though the same numbers are used, the order in which
they are turned to, would mean the difference in the lock 
opening or not. 
Thus, the order is very important.
Permutations and Combinations
Permutations and Combinations
The manager of a coffee shop needs to hire two employees, one to work at the 
counter and one to work at the drive-through window.  Sara, Megen, Tricia and Jeff
all applied for a job.  How many possible ways are there for the manager to place
the applicants?
Permutations and Combinations
Permutations and Combinations
The manager of a coffee shop needs to hire two employees, one to work at the 
counter and one to work at the drive-through window.  Sara, Megen, Tricia and Jeff
all applied for a job.  How many possible ways are there for the manager to place
the applicants?
Counter              Drive-Through                 Outcomes
Sara
Megen
Tricia
Jeff