Pudding fruit salad

1 container (4 oz) refrigerated vanilla pudding
1/2 cup Cool Whip frozen whipped topping, thawed
1 cup seedless green grapes, halved
1 cup miniature marshmallows
1 can (11 oz) mandarin orange segments, drained
1 can (8 oz) pineapple tidbits in juice, drained
1 cup fresh strawberries, sliced