Let's look at a different example so you'll learn how: C(12,5) The 12 is the number you start the numerator with. The 5 is the number you start the denominator with. The 5 also tells you how many factors you need in the numerator, as well as in the denominator. (You always have the same number of factors in the numerator and denominator): The numerator begins with 12 and has 5 factors, each one is one less than the one before it, like this: 12×11×10×9×8 The denominator begins with 5 and also has 5 factors, each one is one less than the one before it, like this: 5×4×3×2×1 So C(12,5) =Cancel the 12 in the top with the 4×3 in the bottom, like this: C(12,5) = You can also cancel the 10 in the top with the 5×2 in the bottom C(12,5) = so the answer is C(12,5) = 11×9×8 = 792 You can always cancel the denominator entirely into the numerator. ----------------------------------- Edwin