Question 1081019
From a sample of 8, there are 24C8 possibilities.
5C1*19C7 is the numerator.  The probability is 251940/735471=0.3426
One way to look at this is take 1 of the 8 samples
5/24*19/23*18/22*17/21*16/20*15/19*14/18*13/17.  This is multiplied by 8, the ways it could happen, and would move the numerator around but wouldn't change the denominator.  This quotient is the same.

5*19*18*17*16*15*14*13/7! all divided by 24*23*22*21*20*19*18*17/8!, and that gives the same answer.