There are 15 combinations.
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Well honey, there are 4 numbers in your combination, so it's as simple as 4 factorial, which is 4 x 3 x 2 x 1, giving you a total of 24 combinations using the numbers 1, 4, 6, and 9. That's all there is to it, no need to complicate things.
Number of combinations = 59*58*57*56*55/(5*4*3*2*1) = 5006386.
To calculate the number of combination codes using the numbers 4, 5, 6, and 7, we use the formula for permutations of a set of objects. Since there are 4 numbers to choose from and we are using all of them, the formula for permutations of n objects taken all at a time is n! (n factorial). Therefore, the number of combination codes using 4, 5, 6, and 7 would be 4! = 4 x 3 x 2 x 1 = 24.
98,706,816
There are infinitely many numbers divisible by 5 and 4. 680 is one of them.