Syllogisms!

Compose the following and give brief explanations:

1. A Valid Syllogism

2. An Invalid Syllogism

3. A Syllogism Embedded in an Argument

1. All pizza flavors are delicious, Hawaiian is a pizza flavor, therefore Hawaiian pizza is delicious. 
-Hawaiian pizza is a flavor of pizza, since all pizza flavors are delicious, Hawaiian pizza is also amazing.

2. All IU medical school applicants are smart, most Purdue students are smart, therefore most Purdue students are applying to IU medical school.

-Not all smart Purdue students also apply to IU medical school.

3. Some people think that Purdue is overpriced for any undergraduate degree that is not in engineering. Purdue has some of the best placement rates into the nations best graduate schools (including Purdue) coming from  colleges of science, technology and liberal arts. Therefore, a great many degree's from Purdue are worth the money, not just engineering degree's
-Because of Purdue's job placement and grad school placement are high from colleges other than the college of engineering Purdue must be a good value for other programs as well.