Probability and Statistics - Binomial Notation Practice
79 Topics, 3 Skills
Duplicate Orders in 5 Cards, 1 Repeat - to Factorial Equation
Topic 1
Duplicate Orders in 5 Letters, 1 Repeat - to Factorial Equation
Topic 2
Ways to Order 5 Cards, 1 Repeat - to Equation
Topic 3
Ways to Order 5 Cards, 1 Repeat - to Factorial Equation
Topic 4
Ways to Order 5 Cards, 1 Repeat - to Answer
Topic 5
Ways to Order 5 Letters, 1 Repeat - to Equation
Topic 6
Ways to Order 5 Letters, 1 Repeat - to Factorial Equation
Topic 7
Ways to Order 5 Letters, 1 Repeat - to Answer
Topic 8
Factorials - To Multiplication String
Topic 9
Factorials - To Value
Topic 10
Factorial Multiplication String To Factorial
Topic 11
Factorial Division - To Multiplication String
Topic 12
Factorial Division - To Value
Topic 13
Factorial Multiplication String To Factorial Division
Topic 14
Letter Notation to Formula
Topic 15
Letter Notation to Value
Topic 16
Letter Notation to Description
Topic 17
Formula to Letter Notation
Topic 18
Formula to Description
Topic 19
Formula to Value
Topic 20
Description to Formula
Topic 21
Description to Letter Notation
Topic 22
Description to Value
Topic 23
Letter Notation to Formula
Topic 24
Letter Notation to Value
Topic 25
Letter Notation to Description
Topic 26
Formula to Letter Notation
Topic 27
Formula to Description
Topic 28
Formula to Value
Topic 29
Description to Formula
Topic 30
Description to Letter Notation
Topic 31
Description to Value
Topic 32
Description to Bracket Notation
Topic 33
Formula to Bracket Notation
Topic 34
Letter Notation to Bracket Notation
Topic 35
Bracket Notation to Letter Notation
Topic 36
Bracket Notation to Formula
Topic 37
Bracket Notation to Description
Topic 38
Bracket Notation to Value
Topic 39
Duplicate Orders in 4 Cards, 2 Repeats - to Factorial Equation
Topic 40
Duplicate Orders in 4 Letters, 2 Repeats - to Factorial Equation
Topic 41
Ways to Order 4 Cards, 2 Repeats - to Equation
Topic 42
Ways to Order 4 Cards, 2 Repeats - to Factorial Equation
Topic 43
Ways to Order 4 Cards, 2 Repeats - to Answer
Topic 44
Ways to Order 4 Letters, 2 Repeats - to Equation
Topic 45
Ways to Order 4 Letters, 2 Repeats - to Factorial Equation
Topic 46
Ways to Order 4 Letters, 2 Repeats - to Answer
Topic 47
Choose N Cards from M, Count of Total Outcomes - To Factorial Equation
Topic 48
Choose N Cards from M, Count of Favorable Outcomes - To Factorial Equation
Topic 49
Choose N Letters from M, Count of Total Outcomes - To Factorial Equation
Topic 50
Choose N Letters from M, Count of Favorable Outcomes - To Factorial Equation
Topic 51
Choose N Cards from M, Count of Total Outcomes - To nCm Notation
Topic 52
Choose N Cards from M, Count of Favorable Outcomes - To nCm Notation
Topic 53
Choose N Letters from M, Count of Total Outcomes - To nCm Notation
Topic 54
Choose N Letters from M, Count of Favorable Outcomes - To nCm Notation
Topic 55
Choose N Cards from M, Count of Total Outcomes - To Bracket Notation
Topic 56
Choose N Cards from M, Count of Favorable Outcomes - To Bracket Notation
Topic 57
Choose N Letters from M, Count of Total Outcomes - To Bracket Notation
Topic 58
Choose N Letters from M, Count of Favorable Outcomes - To Bracket Notation
Topic 59
Choose N Cards from M, To nCm Notation
Topic 60
Choose N Letters from M, To nCm Notation
Topic 61
Choose N Cards from M, To Bracket Notation
Topic 62
Choose N Letters from M, To Bracket Notation
Topic 63
Cards, From Hand, Pick Two Non-Ordered, To Description of Equation
Topic 64
Cards, From Hand, Pick Two Non-Ordered, To Description of Equation
Topic 65
Cards, From Hand, Pick Two Non-Ordered, To nCm Equation
Topic 66
Cards, From Hand, Pick Two Non-Ordered, To nCm Equation
Topic 67
Cards, From Hand, Pick Two Non-Ordered, To Binomial Equation
Topic 68
Cards, From Hand, Pick Two Non-Ordered, To Binomial Equation
Topic 69
Cards, From Hand, Pick Two Non-Ordered, To Fraction
Topic 70
Cards, From Hand, Pick Two Non-Ordered, To Fraction
Topic 71
Duplicate Orders in 5 Cards, 2 Repeats - to Factorial Equation
Topic 72
Duplicate Orders in 5 Letters, 2 Repeats - to Factorial Equation
Topic 73
Ways to Order 5 Cards, 2 Repeat - to Equation
Topic 74
Ways to Order 5 Cards, 2 Repeats - to Factorial Equation
Topic 75
Ways to Order 5 Cards, 2 Repeats - to Answer
Topic 76
Ways to Order 5 Letters, 2 Repeat - to Equation
Topic 77
Ways to Order 5 Letters, 2 Repeats - to Factorial Equation
Topic 78
Ways to Order 5 Letters, 2 Repeats - to Answer
Topic 79
This math topic focuses on calculating the number of ways to arrange a set of cards, considering specific conditions where certain cards are repeated. It uses factorial equations to determine the arrangements, which is a fundamental application in probability and combinatorics. Specifically, the problems aim to work through permutations where cards must remain in an order from smallest to largest, despite duplicates—introducing concepts from Probability and Statistics, with an intro to Binomial Notation. Each problem presents multiple choice answers expressed in factorial terms and sequences, providing practice in identifying and solving factorial expressions for permutations.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.