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

This math topic focuses on calculating the number of distinct ways to order 5 cards, where there is at least one repeated card. It explores this concept through various multiple-choice questions, each providing several possible answers to how many different arrangements can be made. Each question requires understanding and applying factorials to solve problems related to permutations of items with repetitions. This topic is part of a broader study on probability and statistics, emphasizing factorial usage in probabilistic scenarios.

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

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Probability Counting - Ways to Order 5 Cards, 1 Repeat - to Answer Worksheet

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Probability Counting - Ways to Order 5 Cards, 1 Repeat - to Answer
1
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
10
b
0
c
20
d
16
e
30
f
3
2
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
0
b
20
c
18
d
10
e
3
f
4
3
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
10
b
3
c
60
d
12
e
30
f
0
4
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
19
b
30
c
10
d
20
e
13
f
0
5
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
0
b
20
c
10
d
6
e
16
f
17
6
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
7
b
10
c
14
d
0
e
20
f
30
7
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
20
b
60
c
30
d
3
e
0
f
10
8
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
19
b
10
c
60
d
3
e
15
f
0