This math topic focuses on calculating the number of ways to arrange letters with duplicates, using factorial notation. It explores permutations in scenarios where certain letters in a three-letter word repeat. Each problem provides a word with either one or two identical letters and asks for the arrangement possibilities shown as different factorial expressions or products of factorials. These exercises are designed to help understand the fundamentals of factorials in probability and permutations, specifically when dealing with duplicate elements.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Duplicate Orders in 3 Letters, 1 Repeat - to Factorial 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 'NON'? Show as a factorial.
Probability Counting - Duplicate Orders in 3 Letters, 1 Repeat - to Factorial Equation Worksheet
| Math worksheet on 'Probability Counting - Duplicate Orders in 3 Letters, 1 Repeat - to Factorial 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 'OFF'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'APP'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'INN'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'POP'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'BOB'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'NON'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'ALL'? Show as a factorial. |