Ways to Order 5 Cards, 2 Repeats - to Answer (Level 1)

This math topic focuses on calculating the number of distinct orders in which 5 cards can be arranged, specifically considering cases where there are repeat cards. It employs concepts from probability and introduces binomial notation. Each problem presents a scenario with varying numbers of repeating cards and asks for the number of possible unique arrangements, with multiple choice answers provided. This is part of a broader unit on probability and statistics.

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

more
View

Probability Counting - Ways to Order 5 Cards, 2 Repeats - to Answer Worksheet

Mobius Math Academy logo
Probability Counting - Ways to Order 5 Cards, 2 Repeats - to Answer
1
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
8
b
0
c
10
d
3
2
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
5
b
3
c
30
d
14
e
10
f
0
3
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
16
b
0
c
5
d
30
e
10
4
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
3
b
4
c
0
d
10
5
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
0
b
30
c
8
d
10
e
7
6
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
10
b
30
c
0
d
5
e
15
f
19
7
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
15
b
0
c
3
d
4
e
10
8
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
30
b
0
c
3
d
10
e
14