2. [3 points] Consider the poset P= (PC) where P is the set of all binary strings of length 4, and we say that st if and only if the length of s is less than or equal to the length of t, and t agrees with all the entries of a coordinate-wise. That is to say, for all i in the domain of s, s(i) t(i). For example, 101 1011, but it is not the case that 1011001. 8 Determine the height and width of P.