IKMC 2027 - Grades 7-8 - Self-study SET 3 - Thematic Batch 3 Question 2

I draw a 3 × 3 square on paper. I have four patterned pieces: one grey 1 × 3 piece and three 2 × 1 pieces, one with stars, one with dots and one plain white, as shown. In how many ways can all four pieces cover the 3 × 3 square?