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

This math topic focuses on calculating the number of distinct ways to order a set of 5 letter tiles, with no repetitions. Each problem requires participants to express their solution as a multiplication statement, likely involving factorial calculations. This is part of a foundational study in probability and statistics, specifically in counting and probability techniques. The participants are challenged to use combinations and permutations to solve the problems, highlighting the practical application of these mathematical concepts.

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

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

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