Math Challenge Question

M

MathChallenge

New member
Joined
Aug 3, 2020
Messages
5
I have a string containing 6 numbers. For example 1 2 3 4 5 6 Any combination of 6 numbers is 1 option. The number of options available to me is the next quantity 2324784 options
When I refer to the word "follow" I want to say that the following rule exists A2 = A1 + 1 for example 1,2 or 3,4 the string of numbers exists who value 1 to value 37
My questions are
Some groups of 2324784 options do not contain consecutive numbers for example
1 3 5 7 9 11 or 5 7 9 11 13 19 or 1 5 9 22 31 36
Some groups of 2324784 options contain 2 consecutive numbers for example
1 2 5 9 11 15 or 5 6 9 11 13 19 or 1 5 9 22 23 36
Some groups of 2324784 options contain 3 consecutive numbers for example
1 2 3 9 11 15 or 5 6 7 11 13 19 or 1 5 9 22 23 24

Thanks in advance to all Respondent Answer
Note I do not know the mathematical explanation, but know the answer
 
MathChallenge said:
I have a string containing 6 numbers. For example 1 2 3 4 5 6 Any combination of 6 numbers is 1 option. The number of options available to me is the next quantity 2324784 options
When I refer to the word "follow" I want to say that the following rule exists A2 = A1 + 1 for example 1,2 or 3,4 the string of numbers exists who value 1 to value 37
My questions are
Some groups of 2324784 options do not contain consecutive numbers for example
1 3 5 7 9 11 or 5 7 9 11 13 19 or 1 5 9 22 31 36
Some groups of 2324784 options contain 2 consecutive numbers for example
1 2 5 9 11 15 or 5 6 9 11 13 19 or 1 5 9 22 23 36
Some groups of 2324784 options contain 3 consecutive numbers for example
1 2 3 9 11 15 or 5 6 7 11 13 19 or 1 5 9 22 23 24

Thanks in advance to all Respondent Answer
Note I do not know the mathematical explanation, but know the answer
Click to expand...
I do not see a "question" in above string of statements.

Please stop multiple posting in this forum with the same exact problem statement.
 
MathChallenge said:
I have a string containing 6 numbers. For example 1 2 3 4 5 6 Any combination of 6 numbers is 1 option. The number of options available to me is the next quantity 2324784 options
When I refer to the word "follow" I want to say that the following rule exists A2 = A1 + 1 for example 1,2 or 3,4 the string of numbers exists who value 1 to value 37
My questions are
Some groups of 2324784 options do not contain consecutive numbers for example
1 3 5 7 9 11 or 5 7 9 11 13 19 or 1 5 9 22 31 36
Some groups of 2324784 options contain 2 consecutive numbers for example
1 2 5 9 11 15 or 5 6 9 11 13 19 or 1 5 9 22 23 36
Some groups of 2324784 options contain 3 consecutive numbers for example
1 2 3 9 11 15 or 5 6 7 11 13 19 or 1 5 9 22 23 24

Thanks in advance to all Respondent Answer
Note I do not know the mathematical explanation, but know the answer
Click to expand...
This is extremely unclear. I'll just ask you to clarify the first couple lines, though the rest is also unclear (and contains no actual question!).

When you refer to "a string containing 6 numbers", I think you may be saying that each of the six numbers can be anything from 1 to 37; but I still don't see how you got 2,324,784, which is far less than the number of possible (ordered) strings of 6 such numbers. Ah! You don't mean "strings", but "sets" (combinations).

You attempt to define "follow", but then never use it. Did you mean "consecutive"?

And so on.

Now, are you asking how many such sets there are with each condition? Then say so.
 
A very simple question, the solution is difficult and how many possible combinations can be put together without following numbers from the number 1 to 37. If in total all groups contain 2324784 options
 
I thought it was an invoice series
An = A1 + (N-1) * d
An = 2324784
a1 = 1
d = 2
n =?

This is not true
 
I think you may be asking, how many combinations of 6 distinct numbers from 1 through 37 are there, which do not contain any consecutive numbers (that is, any numbers that differ by 1)? Is that right?

By "invoice series" you seem to mean "arithmetic sequence". I see no connection, though.
 
You must log in or register to reply here.
Top