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.
Practice:
Ways to Order 3 Cards, 1 Repeat - to Answer
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
How many distinct ways can these cards be ordered?
Probability Counting - Ways to Order 3 Cards, 1 Repeat - to Answer Worksheet
| Math worksheet on 'Probability Counting - Ways to Order 3 Cards, 1 Repeat - to Answer (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_intro/ |
1
| How many distinct ways can these cards be ordered? |
a
| 21 |
b
| 16 |
c
| 0 |
d
| 5 |
e
| 8 |
f
| 3 |
2
| How many distinct ways can these cards be ordered? |
a
| 21 |
b
| 0 |
c
| 3 |
d
| 4 |
e
| 17 |
f
| 20 |
3
| How many distinct ways can these cards be ordered? |
a
| 10 |
b
| 15 |
c
| 1 |
d
| 14 |
e
| 0 |
f
| 3 |
4
| How many distinct ways can these cards be ordered? |
a
| 15 |
b
| 14 |
c
| 20 |
d
| 3 |
e
| 1 |
f
| 0 |
5
| How many distinct ways can these cards be ordered? |
a
| 3 |
b
| 16 |
c
| 0 |
d
| 10 |
e
| 13 |
f
| 12 |
6
| How many distinct ways can these cards be ordered? |
a
| 12 |
b
| 14 |
c
| 15 |
d
| 3 |
e
| 0 |
f
| 18 |
7
| How many distinct ways can these cards be ordered? |
a
| 0 |
b
| 19 |
c
| 1 |
d
| 3 |
e
| 13 |
f
| 10 |