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Probability Counting - Duplicate Orders in 5 Letters, 2 Repeat - to Equation (Level 1)

This math topic focuses on calculating the number of ways to arrange specific strings of letters, emphasizing problems where certain letters repeat. Each question provides a different set of letters (with duplicates) and asks how many ways they can be ordered, using multiplication to represent the combinations. The letters involved in these problems include 'PAPPA', 'MAMMA', 'DADDA', 'VIVID', and 'LEVEL'. The questions are part of an introduction to binomial notation within the broader framework of probability and statistics.

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

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Duplicate Orders in 5 Letters, 2 Repeat - to Equation

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


How many ways can these letter tiles be ordered to spell 'PAPPA'? Show as a multiplication.

PAPPA

Probability Counting - Duplicate Orders in 5 Letters, 2 Repeat - to Equation Worksheet

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Math worksheet on 'Probability Counting - Duplicate Orders in 5 Letters, 2 Repeat - to Equation (Level 1)'. Part of a broader unit on 'Probability and Statistics - Binomial Notation Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_binomial_notation_intro/
1
How many ways can these letter tiles be ordered to spell 'VIVID'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 3 times 2 times 2
b A LaTex expression showing 2 times 2
c A LaTex expression showing 1 over 2 times 2
d A LaTex expression showing 2 over 2 times 2
e A LaTex expression showing 2 times 4 times 3 times 2
f A LaTex expression showing 4 times 3 times 2 times 2
2
How many ways can these letter tiles be ordered to spell 'PAPPA'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 3 times 2 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 times 2
c A LaTex expression showing 2 over 3 times 2 times 2
d A LaTex expression showing 1 over 3 times 2 times 2
e A LaTex expression showing 3 times 2 times 4 times 3 times 2
f A LaTex expression showing 4 times 3 times 2 times 2
3
How many ways can these letter tiles be ordered to spell 'RADAR'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 2 times 4 times 3 times 2
b A LaTex expression showing 2 over 2 times 2
c A LaTex expression showing 1 over 2 times 2
d A LaTex expression showing 3 times 2 times 2
e A LaTex expression showing 2 times 2
f A LaTex expression showing 2 times 3 times 2
4
How many ways can these letter tiles be ordered to spell 'PAPPA'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 1 over 2 times 3 times 2
b A LaTex expression showing 3 times 2 times 3 times 2
c A LaTex expression showing 2 over 2 times 3 times 2
d A LaTex expression showing 4 times 3 times 2 times 3 times 2
e A LaTex expression showing 2 times 3 times 2
f A LaTex expression showing 2 times 5 times 4 times 3 times 2
5
How many ways can these letter tiles be ordered to spell 'DADDA'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 2 over 3 times 2 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 times 2
c A LaTex expression showing 3 times 2 times 4 times 3 times 2
d A LaTex expression showing 3 times 2 times 3 times 2
e A LaTex expression showing 1 over 3 times 2 times 2
f A LaTex expression showing 3 times 2 times 2
6
How many ways can these letter tiles be ordered to spell 'MAMMA'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 4 times 3 times 2 times 2
b A LaTex expression showing 3 times 2 times 4 times 3 times 2
c A LaTex expression showing 3 times 2 times 2
d A LaTex expression showing 3 times 2 times 3 times 2
e A LaTex expression showing 2 over 3 times 2 times 2
f A LaTex expression showing 1 over 3 times 2 times 2
7
How many ways can these letter tiles be ordered to spell 'DADDA'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 2 times 5 times 4 times 3 times 2
b A LaTex expression showing 4 times 3 times 2 times 3 times 2
c A LaTex expression showing 2 times 4 times 3 times 2
d A LaTex expression showing 2 times 3 times 2
e A LaTex expression showing 2 over 2 times 3 times 2
f A LaTex expression showing 3 times 2 times 3 times 2