randomize product categories

Thanks for your fast reply, then this is a bit confusing.
Aren’t you telling me there i can use rand with ‘orderby’?

Sorting Products by Custom Meta Fields

In many shortcodes like:

[recent_products]
[featured_products]
[products]
[product_category]
[sale_products]
[top_rated_products]
[product_attribute]
[related_products]

you can choose to order products by the following values

• menu_order
• title
• date
• rand
• id

using the “orderby” attribute, for example:

[products skus=”foo, bar, baz” orderby=”date” order=”desc”].

https://docs.woothemes.com/document/woocommerce-shortcodes/

Is there any possibility to randomize my categories?

Is there any possibility to randomize displayed categories?

If someone wants to know how i did it:

past this in function.php of your theme:

/**
	 * List all (or limited) product categories.
	 *
	 * @param array $atts
	 * @return string
	 */
	function rand_product_categories( $atts ) {
		global $woocommerce_loop;

		$atts = shortcode_atts( array(
			'number'     => null,
			'orderby'    => 'name',
			'order'      => 'ASC',
			'columns'    => '4',
			'hide_empty' => 1,
			'parent'     => '',
			'ids'        => ''
		), $atts );

		if ( isset( $atts['ids'] ) ) {
			$ids = explode( ',', $atts['ids'] );
			$ids = array_map( 'trim', $ids );
		} else {
			$ids = array();
		}

		$hide_empty = ( $atts['hide_empty'] == true || $atts['hide_empty'] == 1 ) ? 1 : 0;

		// get terms and workaround WP bug with parents/pad counts
		$args = array(
			'orderby'    => $atts['orderby'],
			'order'      => $atts['order'],
			'hide_empty' => $hide_empty,
			'include'    => $ids,
			'pad_counts' => true,
			'child_of'   => $atts['parent']
		);

		$rand_product_categories = get_terms( 'product_cat', $args );

		if ( '' !== $atts['parent'] ) {
			$rand_product_categories = wp_list_filter( $rand_product_categories, array( 'parent' => $atts['parent'] ) );
		}

		if ( $hide_empty ) {
			foreach ( $rand_product_categories as $key => $category ) {
				if ( $category->count == 0 ) {
					unset( $rand_product_categories[ $key ] );
				}
			}
		}

		if ( $atts['number'] ) {
			$rand_product_categories = array_slice( $rand_product_categories, 0, $atts['number'] );
		}

		$columns = absint( $atts['columns'] );
		$woocommerce_loop['columns'] = $columns;

		ob_start();

		// Reset loop/columns globals when starting a new loop
		$woocommerce_loop['loop'] = $woocommerce_loop['column'] = '';

		if ( shuffle($rand_product_categories) ) {
			woocommerce_product_loop_start();

			foreach ( $rand_product_categories as $category ) {
				wc_get_template( 'content-product_cat.php', array(
					'category' => $category
				) );
			}

			woocommerce_product_loop_end();
		}

		woocommerce_reset_loop();

		return '<div class="woocommerce columns-' . $columns . '">' . ob_get_clean() . '</div>';
	}
	add_shortcode( 'rand_prod_cat', 'rand_product_categories' );
	?>

your new shuffeld categories shortcode is:
[rand_prod_cat number="4" parent="0"]