Ways to Order 3 Cards, 1 Repeat - to Answer (Level 1)

This math topic focuses on the probability of different ways to order three cards, where one card may be repeated. It is an introductory exercise to understanding factorials within the broader context of probability and statistics. In each problem, the learner is asked to determine the number of distinct ways these cards can be arranged, with multiple choice answers provided. This set of problems help develop the foundational understanding of permutations where repetition of elements is involved.

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

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Probability Counting - Ways to Order 3 Cards, 1 Repeat - to Answer Worksheet

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Probability Counting - Ways to Order 3 Cards, 1 Repeat - to Answer
1
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
4
b
3
c
0
d
16
e
8
f
6
2
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
18
b
13
c
3
d
0
e
17
3
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
1
b
9
c
0
d
3
e
16
f
20
4
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
1
b
3
c
5
d
0
5
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
3
b
21
c
0
d
20
e
4
f
17
6
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
0
b
3
c
11
d
18
e
21
f
5
7
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
21
b
3
c
16
d
5
e
8
f
0
8
An svg image showing a math problem
How many distinct ways can these cards be ordered?
a
10
b
0
c
15
d
1
e
3
f
14