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

This math topic focuses on calculating the number of ways to arrange words with repeated letters using factorial notations. Specifically, it explores permutations of words like 'SASSY', 'TOTEM', 'BUBBY', 'GRASS', 'FOOLS', 'SPILL', and 'APPLE', taking into account the repetitions of certain letters. This requires understanding factorials and applying permutations formulas to account for repeated elements. The problems require expressing the arrangements in terms of factorials and interpreting LaTex expressions related to these calculations.

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

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Duplicate Orders in 5 Letters, 1 Repeat - to Factorial Equation

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

FOOLS

Probability Counting - Duplicate Orders in 5 Letters, 1 Repeat - to Factorial Equation Worksheet

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Math worksheet on 'Probability Counting - Duplicate Orders in 5 Letters, 1 Repeat - to Factorial Equation (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_practice/
1
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'BUBBY'? Show as a factorial.
a A LaTex expression showing 4!
b A LaTex expression showing 3! times 3!
c A LaTex expression showing 1 over 3! times 1!
d A LaTex expression showing 3!
e A LaTex expression showing 2! over 3! times 1!
f A LaTex expression showing 3! times 2!
2
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'APPLE'? Show as a factorial.
a A LaTex expression showing 3!
b A LaTex expression showing 2! over 2! times 1!
c A LaTex expression showing 1 over 2! times 1!
d A LaTex expression showing 2!
e A LaTex expression showing 4!
f A LaTex expression showing 2! times 3!
3
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'SASSY'? Show as a factorial.
a A LaTex expression showing 3! times 3!
b A LaTex expression showing 3!
c A LaTex expression showing 5!
d A LaTex expression showing 2! over 3! times 1!
e A LaTex expression showing 4!
f A LaTex expression showing 1 over 3! times 1!
4
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'PIZZA'? Show as a factorial.
a A LaTex expression showing 2!
b A LaTex expression showing 2! times 2!
c A LaTex expression showing 2! times 3!
d A LaTex expression showing 2! over 2! times 1!
e A LaTex expression showing 3!
f A LaTex expression showing 4!
5
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'FOOLS'? Show as a factorial.
a A LaTex expression showing 2!
b A LaTex expression showing 2! over 2! times 1!
c A LaTex expression showing 2! times 3!
d A LaTex expression showing 3!
e A LaTex expression showing 4!
f A LaTex expression showing 1 over 2! times 1!
6
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'TOTEM'? Show as a factorial.
a A LaTex expression showing 1 over 2! times 1!
b A LaTex expression showing 3!
c A LaTex expression showing 4!
d A LaTex expression showing 2! times 3!
e A LaTex expression showing 2! over 2! times 1!
f A LaTex expression showing 2!
7
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'SPILL'? Show as a factorial.
a A LaTex expression showing 2! over 2! times 1!
b A LaTex expression showing 2! times 2!
c A LaTex expression showing 3!
d A LaTex expression showing 1 over 2! times 1!
e A LaTex expression showing 2!
f A LaTex expression showing 4!