SOLUTION: hello. can you list all possible number combinations of 5 separate numbers drawn from a field of numbers from 1-37, with 23 in it? no repeats. Thank you in advance.

Algebra ->  Permutations -> SOLUTION: hello. can you list all possible number combinations of 5 separate numbers drawn from a field of numbers from 1-37, with 23 in it? no repeats. Thank you in advance.      Log On


   



Question 763079: hello. can you list all possible number combinations of 5 separate numbers drawn from a field of numbers from 1-37, with 23 in it? no repeats. Thank you in advance.
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
In the set of 5 numbers, one is already fixed i.e. 23.
So we need to find out how many possible combinations are there for the remaining 4 numbers in the set.
In other words, how many ways can 4 numbers be chosen from a set of 36? (Note that it is only 36 and not 37 - because the number 23 is already chosen).
The answer is 36 choose 4 or C(36,4) = 36*35*34*33/1*2*3*4 = highlight%2858905%29 ways.

:)