Carmen selects four different numbers from the set \{1,2,3,4,5,6,7\} whose sum is 11. If \ell is the largest of these four numbers, what is the value of \ell?
Carmen selects four different numbers from the set \{1,2,3,4,5,6,7\} whose sum is 11. If \ell is the largest of these four numbers, what is the value of \ell?