WE SHOW THAT THE RANK OF THE KAPPA RING (FORMULA) OF `M1,N IN DEGREE D IS EQUAL TO J P |(D, N-D)|, WHERE PI (D, K) DENOTES THE SET OF PARTITIONS P= (P1,.., PL) OF D SUCH THAT AT MOST K OF THE NUMBERS P1,.., PL ARE GREATER THAN I. MOREOVER, WE SHOW THAT (FORMULA).