Ways to Order 4 Letters, 1 Repeat - to Equation (Level 1)

The math problems focus on calculating the number of distinct ways to order a set of four letter tiles, where one of the letters repeats. Students are expected to demonstrate their understanding by presenting their solutions as multiplicative equations using factorial concepts. This practice falls under the broader category of Probability and Statistics, focusing specifically on factorials and their application in determining permutations where repetition occurs.

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

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Probability Counting - Ways to Order 4 Letters, 1 Repeat - to Equation Worksheet

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