Answer:
The number of ways of arranging 5 vases in the display window is:
95040 ways
Step-by-step explanation:
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:
[tex]n_P_r=\dfrac{n!}{(n-r)!}[/tex]
Here in the question we have:
n=12 and r=5
Hence, the number of ways of arranging them is given by:
[tex]{12}_P_5=\dfrac{12!}{(12-5)!}\\\\\\{12}_P_5=\dfrac{12!}{7!}\\\\\\{12}_P_5=\dfrac{12\times 11\times 10\times 9\times 8\times 7!}{7!}\\\\\\{12}_P_5=12\times 11\times 10\times 9\times 8\\\\\\{12}_P_5=95040[/tex]
Hence, the answer is:
95040 ways
