Ways to Order 5 Cards, 0 Repeats - to Equation (Level 1)

This math topic focuses on foundational concepts in probability and statistics, specifically concerning permutations and ways to order sets of five cards with no repeats. Each problem asks the student to calculate the number of possible arrangements of the five cards and requires the expression of the answer as a series of multiplications, potentially divided by factorial or other products depending on the scenario. The questions enhance understanding of factorial calculations and the principles of counting, central in probability studies.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

Probability Counting - Ways to Order 5 Cards, 0 Repeats - to Equation Worksheet

Mobius Math Academy logo
Probability Counting - Ways to Order 5 Cards, 0 Repeats - to Equation
1
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 4 times 3 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2
c A LaTex expression showing 5 times 4 times 3 times 2 over 2
d A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
e A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 3 times 2
f A LaTex expression showing 5 times 4 times 3 times 2
2
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 7 times 6 times 5 times 4 times 3 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 2
c A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
d A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 3 times 2
e A LaTex expression showing 5 times 4 times 3 times 2
f A LaTex expression showing 7 times 6 times 5 times 4 times 3 times 2 over 2
3
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 5 times 4 times 3 times 2 over 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 2
c A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
d A LaTex expression showing 4 times 3 times 2
e A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2
f A LaTex expression showing 5 times 4 times 3 times 2
4
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 4 times 3 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 3 times 2
c A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 2
d A LaTex expression showing 6 times 5 times 4 times 3 times 2
e A LaTex expression showing 5 times 4 times 3 times 2
f A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
5
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 3 times 2
b A LaTex expression showing 4 times 3 times 2
c A LaTex expression showing 3 times 2
d A LaTex expression showing 5 times 4 times 3 times 2
e A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
f A LaTex expression showing 5 times 4 times 3 times 2 over 2
6
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 5 times 4 times 3 times 2 over 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 2
c A LaTex expression showing 7 times 6 times 5 times 4 times 3 times 2 over 3 times 2
d A LaTex expression showing 5 times 4 times 3 times 2
e A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
f A LaTex expression showing 3 times 2
7
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 5 times 4 times 3 times 2 over 2
b A LaTex expression showing 5 times 4 times 3 times 2
c A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2
d A LaTex expression showing 3 times 2
e A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
f A LaTex expression showing 4 times 3 times 2
8
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 5 times 4 times 3 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
c A LaTex expression showing 3 times 2
d A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 3 times 2
e A LaTex expression showing 5 times 4 times 3 times 2 over 1 times 2