An art gallery has 12 vases. how many ways can 5 of the vases be arranged in the display window?

The number of ways of arranging 5 vases in the display window is:

                                   95040 ways

We know that if we have a total of n items and we need ti arrange "r" items out of a total of n items then we need to use the method of permutation.

The formula of arranging r items out of n items is given by:

Here in the question we have:

      n=12 and r=5

Hence, the number of ways of arranging them is given by:

           Hence, the answer is:

                 95040 ways