means this long thing: And then you cancel all that will cancel and you get this: And all you have left is Then cancel the 2 into the 60 That's the formula for the combinations of 68 things taken 58 at a time C(60,58) A much, much easier formula for combinations: C(a,b) if b is larger than half of a, then subtract b from a. Then For the numerator start with a and use b factors, each one less than the preceding. For the denominator start with b and use b factors, each one less than the preceding. So if you have C(60,58) Since 58 is larger than half of 60, subtract 60-58 = 2. Then you have C(60,2) and by the easier formula, . Edwin