This math topic focuses on calculating probabilities of different permutations of words formed using specific sets of letters with repeated characters. The problems require expressing the solutions using factorial notation. Specifically, students practice solving the number of ways to arrange letters in words like "MAMMA," "PAPPA," "DADDA," "LEVEL," and "VIVID," applying knowledge of factorials and permutation formulas where repetitions are present. This involves understanding and applying formulas from the probability and statistics segment, particularly binomial notation.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Duplicate Orders in 5 Letters, 2 Repeats - 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 'VIVID'? Show as a factorial.
Probability Counting - Duplicate Orders in 5 Letters, 2 Repeats - to Factorial Equation Worksheet
| Math worksheet on 'Probability Counting - Duplicate Orders in 5 Letters, 2 Repeats - to Factorial 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/ |
| How many ways can these letter tiles be ordered to spell 'DADDA'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'VIVID'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'MAMMA'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'RADAR'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'PAPPA'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'DADDA'? Show as a factorial. |
| How many ways can these letter tiles be ordered to spell 'LEVEL'? Show as a factorial. |