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How to find the combination of multiplication of integers up to a certain value in R?
Suppose we want to find the total number of combinations of two numbers, say, 1 and 2 and then multiply each of the combination values. This will result in the following combinations −
1 1 1 2 2 1 2 2
And the multiplication will also have a third column as shown below −
Multiplication 1 1 1 1 2 2 2 1 2 2 2 4
Example1
for (i in 1:2) for (j in 1:2) cat(i,j,i*j, "
")
Output
1 1 1 1 2 2 2 1 2 2 2 4
Example2
for (i in 1:5) for (j in 1:5) cat(i,j,i*j, "
")
Output
1 1 1 1 2 2 1 3 3 1 4 4 1 5 5 2 1 2 2 2 4 2 3 6 2 4 8 2 5 10 3 1 3 3 2 6 3 3 9 3 4 12 3 5 15 4 1 4 4 2 8 4 3 12 4 4 16 4 5 20 5 1 5 5 2 10 5 3 15 5 4 20 5 5 25
Example3
for (i in 1:5) for (j in 1:3) cat(i,j,i*j, "
")
Output
1 1 1 1 2 2 1 3 3 2 1 2 2 2 4 2 3 6 3 1 3 3 2 6 3 3 9 4 1 4 4 2 8 4 3 12 5 1 5 5 2 10 5 3 15
Example4
for (i in 1:5) for (j in 1:10) cat(i,j,i*j, "
")
Output
1 1 1 1 2 2 1 3 3 1 4 4 1 5 5 1 6 6 1 7 7 1 8 8 1 9 9 1 10 10 2 1 2 2 2 4 2 3 6 2 4 8 2 5 10 2 6 12 2 7 14 2 8 16 2 9 18 2 10 20 3 1 3 3 2 6 3 3 9 3 4 12 3 5 15 3 6 18 3 7 21 3 8 24 3 9 27 3 10 30 4 1 4 4 2 8 4 3 12 4 4 16 4 5 20 4 6 24 4 7 28 4 8 32 4 9 36 4 10 40 5 1 5 5 2 10 5 3 15 5 4 20 5 5 25 5 6 30 5 7 35 5 8 40 5 9 45 5 10 50
Example5
for (i in 1:4) for (j in 1:6) cat(i,j,i*j, "
")
Output
1 1 1 1 2 2 1 3 3 1 4 4 1 5 5 1 6 6 2 1 2 2 2 4 2 3 6 2 4 8 2 5 10 2 6 12 3 1 3 3 2 6 3 3 9 3 4 12 3 5 15 3 6 18 4 1 4 4 2 8 4 3 12 4 4 16 4 5 20 4 6 24
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