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.
Practice:
Ways to Order 5 Cards, 2 Repeats - 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 5 Cards, 2 Repeats - to Answer Worksheet
| Math worksheet on 'Probability Counting - Ways to Order 5 Cards, 2 Repeats - to Answer (Level 1)'. Part of a broader unit on 'Probability and Statistics - Binomial Notation Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_binomial_notation_intro/ |
1
| How many distinct ways can these cards be ordered? |
a
| 5 |
b
| 10 |
c
| 12 |
d
| 0 |
e
| 30 |
2
| How many distinct ways can these cards be ordered? |
a
| 20 |
b
| 11 |
c
| 10 |
d
| 17 |
e
| 30 |
f
| 0 |
3
| How many distinct ways can these cards be ordered? |
a
| 30 |
b
| 12 |
c
| 10 |
d
| 18 |
e
| 0 |
f
| 7 |
4
| How many distinct ways can these cards be ordered? |
a
| 14 |
b
| 5 |
c
| 30 |
d
| 0 |
e
| 3 |
f
| 10 |
5
| How many distinct ways can these cards be ordered? |
a
| 10 |
b
| 3 |
c
| 4 |
d
| 0 |
6
| How many distinct ways can these cards be ordered? |
a
| 19 |
b
| 5 |
c
| 0 |
d
| 10 |
e
| 15 |
f
| 30 |
7
| How many distinct ways can these cards be ordered? |
a
| 0 |
b
| 10 |
c
| 4 |
d
| 8 |
e
| 30 |
f
| 15 |