Easyjet only allow one piece pf hand luggage. From their website,
"You can take one piece of hand baggage into the cabin with you -no bigger than 56 x 45 x 25cm incl wheels- which must fit comfortably into the baggage gauge.
Hand bags, briefcases, laptops and laptop bags are all counted as one piece so if you have a hand bag and a laptop bag for example, you might want to consider putting one inside the other."