An art contest has 12 entries. Prizes are being awarded for the first and second place winners. How many different ways can the prizes be given?

132.

Step-by-step explanation:

There are a total of 12 entries.

A total of 12 people can be awarded first place. After first place has been awarded, there are 11 people remaining.

Therefore, there is a total of 132 different ways the prizes can be given.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl