Counting & Permutations: Fundamentals for Fast problem solving

Presentación

Jugadas 1

Crear copia

Sobre esta actividad

Master counting principles and permutation basics.

Creada por

MATH eMATICS

Filipinas

Descarga la versión para jugar en papel

Top 10 resultados

#	Jugador	Acierto	tiempo
1	Kenneth Paquibulan 2 de Febrero de 2026	% 100	00:24

¿Quieres aparecer en el Top 10 de este juego? Inicia sesión para identificarte.

Crea tu propio juego gratis desde nuestro creador de juegos

Compite contra tus amigos para ver quien consigue la mejor puntuación en esta actividad

Crear reto


Counting & Permutations: Fundamentals for Fast problem solvingVersión en línea Master counting principles and permutation basics. por MATH eMATICS 1 Slide 1: Fundamental Counting Principle Fundamental Counting Principle helps find the number of outcomes by multiplying choices at each stage. If you have a, b, c options, total = a × b × c. Used to quickly count combinations of sequential choices in real problems. 2 Slide 2: Factorial Notation Factorial notation is written as n!, representing the product of all natural numbers from n down to 1. Example: 4! = 4 × 3 × 2 × 1. 3 Slide 3: Link to Permutations Permutations are ordered arrangements of objects. When selecting objects from a set, permutations count distinct orders and depend on whether repetition is allowed. 4 Slide 4: Permutations without Replacement Number of permutations of n objects taken r at a time is nPr = n! / (n−r)! This applies when no object is reused. 5 Slide 5: Permutations with Replacement Permutations with replacement allow repeating objects. Number is n^r, since each of the r positions can be filled by any of the n objects. 6 Slide 6: Permutations with Identical Objects When some objects are identical, use multinomial counts. For n total with counts a, b, c, the number is n! / (a! b! c!). 7 Slide 7: Real-World Example: Code Combinations How many 3-letter codes from digits {3,5,7,9} if repetition allowed? Use 3 positions with replacement → 4^3 = 64 codes. 8 Slide 8: Real-World Example: Seat Arrangements Arrange k students in a row of n seats. If all students are distinct and n = k, total arrangements = n!. 9 Slide 9: Practical Application: Group Scenarios Group problems combine counting principles with constraints. Break the problem into stages, multiply choices at each stage, and adjust for identical items when needed. 10 Slide 10: Quick Problem-Solving Checklist 1) Identify whether repetition is allowed. 2) Determine what to permute. 3) Choose formula (Pr, with/without). 4) Compute factorials or exponents. 5) Watch for identical items.

Counting & Permutations: Fundamentals for Fast problem solvingVersión en línea

Master counting principles and permutation basics.

por MATH eMATICS

Slide 1: Fundamental Counting Principle

Fundamental Counting Principle helps find the number of outcomes by multiplying choices at each stage. If you have a, b, c options, total = a × b × c.

Used to quickly count combinations of sequential choices in real problems.

Slide 2: Factorial Notation

Factorial notation is written as n!, representing the product of all natural numbers from n down to 1. Example: 4! = 4 × 3 × 2 × 1.

Slide 3: Link to Permutations

Permutations are ordered arrangements of objects. When selecting objects from a set, permutations count distinct orders and depend on whether repetition is allowed.

Slide 4: Permutations without Replacement

Number of permutations of n objects taken r at a time is nPr = n! / (n−r)! This applies when no object is reused.

Slide 5: Permutations with Replacement

Permutations with replacement allow repeating objects. Number is n^r, since each of the r positions can be filled by any of the n objects.

Slide 6: Permutations with Identical Objects

When some objects are identical, use multinomial counts. For n total with counts a, b, c, the number is n! / (a! b! c!).

Slide 7: Real-World Example: Code Combinations

How many 3-letter codes from digits {3,5,7,9} if repetition allowed? Use 3 positions with replacement → 4^3 = 64 codes.

Slide 8: Real-World Example: Seat Arrangements

Arrange k students in a row of n seats. If all students are distinct and n = k, total arrangements = n!.

Slide 9: Practical Application: Group Scenarios

Group problems combine counting principles with constraints. Break the problem into stages, multiply choices at each stage, and adjust for identical items when needed.

Slide 10: Quick Problem-Solving Checklist

1) Identify whether repetition is allowed. 2) Determine what to permute. 3) Choose formula (Pr, with/without). 4) Compute factorials or exponents. 5) Watch for identical items.

Puedes integrar el juego en un LMS compatible con LTI 1.1 o LTI 1.3 como Canvas, Moodle, o Blackboard. De esta manera podrás guardar las puntuaciones automáticamente en el libro de calificaciones de esa plataforma.