HomePricing
Sign InJoin

Probability Counting - Duplicate Orders in 4 Cards, 1 Repeat - to Factorial Equation (Level 1)

This math topic focuses on calculating the number of ways to arrange a set of cards with duplicate values while maintaining ascending order. It uses factorial notation to express the permutations. The exercises involve analyzing different arrangements of four cards, with at least one card repeating, and then selecting the correct factorial expression that represents the total arrangements possible. This is part of a larger unit on probability and statistics that emphasizes understanding factorials and their applications in combinatorial scenarios.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

View Unit

Duplicate Orders in 4 Cards, 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 cards be arranged to still be arranged smallest to largest? Show as a factorial.

910JJ

Probability Counting - Duplicate Orders in 4 Cards, 1 Repeat - to Factorial Equation Worksheet

Mobius Math Club logo
Math worksheet on 'Probability Counting - Duplicate Orders in 4 Cards, 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/
1
How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.
An svg image showing a math problem
a A LaTex expression showing 2!
b A LaTex expression showing 4!
c A LaTex expression showing 2! times 2!
d A LaTex expression showing 1 over 2! times 1!
e A LaTex expression showing 2! over 2! times 1!
f A LaTex expression showing 2! times 3!
2
How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.
An svg image showing a math problem
a A LaTex expression showing 4!
b A LaTex expression showing 3!
c A LaTex expression showing 2! over 3! times 1!
d A LaTex expression showing 3! times 3!
e A LaTex expression showing 5!
f A LaTex expression showing 3! times 2!
3
How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.
An svg image showing a math problem
a A LaTex expression showing 2! over 3! times 1!
b A LaTex expression showing 1 over 3! times 1!
c A LaTex expression showing 5!
d A LaTex expression showing 3! times 2!
e A LaTex expression showing 3!
f A LaTex expression showing 4!
4
How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.
An svg image showing a math problem
a A LaTex expression showing 1 over 2! times 1!
b A LaTex expression showing 2! over 2! times 1!
c A LaTex expression showing 2! times 3!
d A LaTex expression showing 3!
e A LaTex expression showing 4!
f A LaTex expression showing 2!
5
How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.
An svg image showing a math problem
a A LaTex expression showing 3! times 3!
b A LaTex expression showing 3!
c A LaTex expression showing 2! over 3! times 1!
d A LaTex expression showing 4!
e A LaTex expression showing 1 over 3! times 1!
f A LaTex expression showing 5!
6
How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.
An svg image showing a math problem
a A LaTex expression showing 3! times 2!
b A LaTex expression showing 3!
c A LaTex expression showing 1 over 3! times 1!
d A LaTex expression showing 4!
e A LaTex expression showing 2! over 3! times 1!
f A LaTex expression showing 5!
7
How many ways can these cards be arranged to still be arranged smallest to largest? Show as a factorial.
An svg image showing a math problem
a A LaTex expression showing 2! times 2!
b A LaTex expression showing 2! over 2! times 1!
c A LaTex expression showing 2!
d A LaTex expression showing 3!
e A LaTex expression showing 1 over 2! times 1!
f A LaTex expression showing 4!