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);
}