How Many Combinations Can You Create with Variables A, B, and C?

  • Context: High School 
  • Thread starter Thread starter bradyj7
  • Start date Start date
  • Tags Tags
    Combination
Click For Summary
SUMMARY

The discussion focuses on calculating the number of combinations possible with three variables: A, B, and C. Variable A ranges from 5 to 960 in increments of 5, resulting in 192 possible values. Variable B ranges from 0 to 100 in increments of 5, yielding 20 possible values, while Variable C ranges from 2 to 70 in increments of 2, providing 35 possible values. The total number of combinations can be determined by multiplying the number of options for each variable, resulting in 192 x 20 x 35 combinations.

PREREQUISITES
  • Understanding of combinatorial mathematics
  • Familiarity with variable ranges and increments
  • Basic knowledge of multiplication principles in combination calculations
  • Ability to interpret mathematical expressions and sequences
NEXT STEPS
  • Research combinatorial mathematics and its applications
  • Learn about generating functions for counting combinations
  • Explore programming techniques for calculating combinations using Python or R
  • Study the concept of permutations and their differences from combinations
USEFUL FOR

Mathematicians, computer scientists, students in combinatorics, and anyone interested in understanding combination calculations for variable ranges.

bradyj7
Messages
117
Reaction score
0
Hi,

If you have 3 variables A, B and C.

Variable A can range from 5 to 960 in blocks of 5 (192 blocks).

Variable B can range from 0 to 100 in blocks of 5 ( 20 blocks)

Variable C can range from 2 to 70 in blocks of 2 ( 35 blocks).

How many combinations of the numbers can you have?

For example

5 0 2
10 0 2
15 0 2


Thanks
 
Physics news on Phys.org
Is this homework?

Consider a similar situation: Three variables which can have a value from 0 to 9 (10 choices each). Every combination can be read as a 1- to 3-digit number (dropping leading zeros). How many numbers are there? How can you calculate that number?

Your setup is very similar, and the result can be calculated with the same approach.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
4
Views
4K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
20
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K