Suppose you’re thinking of attending Columbia, Hunter, or NYU. To decide, you want to visit all three schools on the same day and thus want to plan the best route. How many different routes are possible?
Suppose you’re thinking of attending Columbia, Hunter, or NYU. To decide, you want to visit all three schools on the same day and thus want to plan the best route. How many different routes are possible?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Question
Suppose you’re thinking of attending Columbia,
Hunter, or NYU. To decide, you want to visit all three
schools on the same day and thus want to plan the
best route. How many different routes are possible?
Expert Solution
Step 1
Factorial Rule:
The total number of ways n different objects can be arranged where order of the objects is important. The factorial rule is denoted by the symbol ‘!’, this symbol represents the product of the decreasing positive whole numbers.
Therefore, symbol ‘!’ represents factorial.
The formula for arranging n different objects is,
n! = n×(n-1)×… ×3×2×1
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