Ways to Order 4 Letters, 2 Repeats - to Equation (Level 1)

This math topic explores the concept of probability through the context of ordering four letter tiles with two repeated letters, emphasizing the use of multiplication to determine the number of distinct arrangements. Each problem presents a situation where students have to calculate permutations where repetition of certain elements (letters) occurs, expressing their answers using multiplication formulas. This is underpinned by introductory principles of binomial notation in probability and statistics.

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, 2 Repeats - to Equation Worksheet

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Probability Counting - Ways to Order 4 Letters, 2 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 6 times 5 times 4 times 3 times 2 over 2 times 2
b A LaTex expression showing 4 times 3 times 2 over 2 times 2
c A LaTex expression showing 3 times 2 over 2 times 2
d A LaTex expression showing 4 times 3 times 2 over 3 times 2 times 2
e A LaTex expression showing 4 times 3 times 2 over 2 times 3 times 2
f A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
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 2 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 2 times 2 times 2
c A LaTex expression showing 4 times 3 times 2 over 2 times 3 times 2
d A LaTex expression showing 4 times 3 times 2 over 3 times 2 times 2
e A LaTex expression showing 3 times 2 over 2 times 2
f A LaTex expression showing 4 times 3 times 2 over 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 5 times 4 times 3 times 2 over 3 times 2 times 2 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 2 times 2
d A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 2
e A LaTex expression showing 4 times 3 times 2 over 3 times 2 times 2
f A LaTex expression showing 6 times 5 times 4 times 3 times 2 over 4 times 3 times 2 times 2 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 3 times 2 over 2 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 2 times 2
c A LaTex expression showing 6 times 5 times 4 times 3 times 2 over 4 times 3 times 2 times 2 times 2
d A LaTex expression showing 4 times 3 times 2 over 2 times 2
e A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
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 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 2
c A LaTex expression showing 4 times 3 times 2 over 2 times 3 times 2
d A LaTex expression showing 3 times 2 over 2 times 2
6
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 2
b A LaTex expression showing 3 times 2 over 2 times 2
c A LaTex expression showing 4 times 3 times 2 over 2 times 2
d A LaTex expression showing 4 times 3 times 2 over 2 times 3 times 2
e A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
f A LaTex expression showing 4 times 3 times 2 over 3 times 2 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 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 4 times 3 times 2
c A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2 times 2 times 2
d A LaTex expression showing 6 times 5 times 4 times 3 times 2 over 4 times 3 times 2 times 2 times 2
e A LaTex expression showing 4 times 3 times 2 over 2 times 2
f A LaTex expression showing 5 times 4 times 3 times 2 over 2 times 2 times 2
8
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 4 times 3 times 2 times 2
c A LaTex expression showing 4 times 3 times 2 over 2 times 4 times 3 times 2
d A LaTex expression showing 3 times 2 over 2 times 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