How many number combinations can you make using the numbers 9, 3, 1, and 7?

Answer 1

To determine the number of combinations possible using the numbers 9, 3, 1, and 7, we can use the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, we want to find the number of permutations of all the numbers.

The formula for permutations of n objects taken r at a time is given by:

P(n, r) = n! / (n - r)!

Where "!" denotes the factorial function.

In this case, we have 4 numbers and we want to arrange all of them, so r = 4.

P(4, 4) = 4! / (4 - 4)!

= 4! / 0!

= 4! / 1

= 4 * 3 * 2 * 1

= 24

Hence, there are 24 different number combinations that can be made using the numbers 9, 3, 1, and 7.