Magento Show Products in Home Page

{{block type="catalog/product_list" template="catalog/product/home.phtml" category_id="61"}}

//random products from category 3
{{block type="catalog/product_list_random" template="catalog/product/list.phtml" category_id="3"}}

//new products
{{block type="catalog/product_new" template="catalog/product/new.phtml"}}