This math topic focuses on calculating probabilities involving permutations where duplicate elements are present. Specifically, it explores various scenarios where three letters (with one repeating) are to be arranged, and the students must determine how many unique ways these can be ordered. This involves understanding and applying the concepts of factorial calculations to account for repeated elements in permutations. The problems help develop skills in forming and solving equations to calculate probabilities in the context of permutations with duplicates.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Duplicate Orders in 3 Letters, 1 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 'INN'? Show as a multiplication.
Probability Counting - Duplicate Orders in 3 Letters, 1 Repeat - to Equation Worksheet
| Math worksheet on 'Probability Counting - Duplicate Orders in 3 Letters, 1 Repeat - to Equation (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_intro/ |
| How many ways can these letter tiles be ordered to spell 'INN'? Show as a multiplication. |
| How many ways can these letter tiles be ordered to spell 'POP'? Show as a multiplication. |
| How many ways can these letter tiles be ordered to spell 'BOB'? Show as a multiplication. |
| How many ways can these letter tiles be ordered to spell 'OFF'? Show as a multiplication. |
| How many ways can these letter tiles be ordered to spell 'NON'? Show as a multiplication. |
| How many ways can these letter tiles be ordered to spell 'ALL'? Show as a multiplication. |
| How many ways can these letter tiles be ordered to spell 'APP'? Show as a multiplication. |