Create multiple arrays with different values from an array

I need to create 3 array with 3 different random values from a simple php array. What is the best approach for that? Choosing random keys with array_rand() then filter the keys from the array and choose another set of random keys again?

$input = array(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);

Example output:

array1 : 4, 2, 7
array2 : 8, 3, 15
array3 : 16, 1, 11