Question

calculator
there are 12 pictures that will be selected from for a display.
how many ways can 4 different paintings be selected?
enter your answer in the box.
□ ways

Explanation:

Step1: Identify combination formula

Since selection order doesn't matter, use combination formula: $C(n,k)=\frac{n!}{k!(n-k)!}$, where $n=12$, $k=4$.

Step2: Calculate factorial values

$12! = 12×11×10×9×8!$, $4! = 24$, $(12-4)! = 8!$. Cancel $8!$: $C(12,4)=\frac{12×11×10×9}{24}$.

Step3: Compute the result

$\frac{12×11×10×9}{24} = \frac{11880}{24} = 495$.

Answer:

495