This math topic focuses on calculating the number of ways to arrange a series of 4-letter sequences where one letter is repeated. The students are required to express their answers as factorial equations. The problems involve sequences like 'PUPP', 'HUSH', 'TATT', 'FEET', 'FOOT', 'SASS', and 'MUMM', each with specific repeated characters. These exercises are useful for understanding permutations, especially in cases involving repeated items, utilizing factorial notation. This is part of a broader study unit on probability and statistics, emphasizing factorial usage in different scenarios.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Duplicate Orders in 4 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 'PREP'? Show as a factorial.
Probability Counting - Duplicate Orders in 4 Letters, 1 Repeat - to Factorial Equation Worksheet
| Math worksheet on 'Probability Counting - Duplicate Orders in 4 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/ |
| How many ways can these letter tiles be ordered to spell 'FOOT'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'HUSH'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'TATT'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'FEET'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'MUMM'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'TENT'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'BUBB'? Show as a factorial. |