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/**
 * category_name is category slug
 *
 * reffer
 * get_posts
 * http://codex.wordpress.org/Template_Tags/get_posts
 */
<?php $lastposts = get_posts('post_type=post&category_name=example&&posts_per_page=5'); ?>
<?php foreach($lastposts as $post) : setup_postdata($post); ?>
    <p><?php the_time("Y/m/d"); ?>&emsp;<a href="<?php the_permalink(); ?>"><?php the_title(); ?></a></p>
<?php endforeach; ?>
<?php wp_reset_postdata(); ?>