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How many combinations are there with 5 variables?
The smallest is 21345, the largest is 25431 and again there are 24 possibilities. Repeat this process again with 3 as the first digit, then 4 as the first digit and finally 5 as the first digit. In total you will find 5 × 24 = 120 possibilities.
How do you calculate how many combinations with 3 numbers?
There are 3 x 2 x 1 = 6 ways to arrange the three digits. In the set of 720 possibilities, each combination of three digits is represented six times. So let’s just divide by 6.
How many combinations of 3 colors are there?
27 different combinations
Three colors can make 27 different combinations. If we had 4 colors, we could make 64 combinations. Each of these combinations gives a unique instruction to the cell.
How to calculate Ho many combinations of multiple variables?
I want to calculate ho many combinations there are which follow this rule: let’s fix A1, then cycle on all the others variables which can assume 3 values each; then let’s move on to A2 and calculate again all the combinations by cycling over the 2 remaining variables (which can assume 3 values each); same thing for A3.
How many possibilities are there for each of the three variables?
You have 3 possibilities (High, medium, low) for each of the three variables. So, in total, you have 3 3 = 27 possibilities.
Do you have to count all combinations in combinatorics?
The constrain is that the combinations must repeat only once over all: in fact if I fix A1 and the combination I get is ( A1 B3 C2 ), then when I fix for example B3 I must not count (A1 B 3 C2) because it has been already found before.
Do you have 3 choices for the result of a?
You have 3 choices for the result of A, three choices for the result of B, and 3 choices for the result of C. By multiplication principle it is then 3 ⋅ 3 ⋅ 3 = 3 3 = 27.