The WordPress function get_term returns the count for the number of posts in the term, but this is for all post types.  You need a custom function to count the number of posts in a term for a specific post_type.

/**
* Returns the number of posts for a term in a taxonomy, for a post type
* @param string $post_type
* @param string $taxonomy
* @return int count
*/
function get_post_count_for_term_and_post_type( $term_id, $taxonomy, $post_type ) {

  // Build the args
  $args = array(
    'post_type' => $post_type,
    'posts_per_page' => -1,
    'tax_query' => array(
      array(
        'taxonomy' => $taxonomy,
        'field' => 'id',
        'terms' => $term_id,
      )
    )
  );

  // Get the posts
  $posts = get_posts( $args );

  // Return the count
  return count($posts);

}