When the block is executed,

Should the order of txs included in the block be the same as the order of the nonce? Or can it be different? For example, when trying to run three txs (nonce is 1, 2, 3) from A(EOA) in the same block, should the nonce order of txs be 1, 2, 3? or can it run even if it is 1, 3, 2?