May 3, 2012

I want to convert a Lexicographic Index Number, better known as Combination Sequence Number (CSN) to a combination using an EXCEL formula.C(n, k) Lexicographic Index Numbers, where n is the total numbers drawn from, and k is the total numbers drawn.

I have a lookup table in cell M1:R56 which holds the correct data, that I am pretty sure about.

In cell G1 I have the Lexicographic Index Number I want converted to a combination.

In cell J2 I have the value 39 (n).

In cell I2 I have the value 5 (k).

In cell K2 I have the formula =COMBIN($J$2,$I2).

In cell A1 (the first number in the combination) I have the formula:

=IF(G1=0,"",$J$2-VLOOKUP($K$2-G1,$M$1:$R$56,6))

In cell B1 (the second number in the combination) I have the formula:

=IF(G1=0,"",$J$2-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1)),$N$1:$R$56,5))

In cell C1 (the third number in the combination) I have the formula:

=IF(G1=0,"",$J$2-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1))-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1)),$N$1:$R$56,1),$O$1:$R$56,4))

In cell D1 (the fourth number in the combination) I have the formula:

=IF(G1=0,"",$J$2-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1))-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1)),$N$1:$R$56,1)-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1))-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1)),$N$1:$R$56,1),$O$1:$R$56,1),$P$1:$R$56,3))

In cell E1 (the fifth number in the combination) I have the formula:

=IF(G1=0,"",$J$2-($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1))-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1)),$N$1:$R$56,1)-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1))-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1)),$N$1:$R$56,1),$O$1:$R$56,1)-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1))-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1)),$N$1:$R$56,1)-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1))-VLOOKUP($K$2-G1-(VLOOKUP($K$2-G1,$M$1:$R$56,1)),$N$1:$R$56,1),$O$1:$R$56,1),$P$1:$R$56,1)))

This works for the vast majority, but gives an ERROR when numbers 35,36,37,38,39 are in the combination, but funny enough NOT all the time.Lexicographic Index Number 575757 which is the maximum combination gives ALL ERRORS.

View 9 Replies
View Related