CRANV2 Appendix 5A appendix Cyril Cleverdon Michael Keen Cranfield An investigation supported by a grant to Aslib by the National Science Foundation. Use, reproduction, or publication, in whole or in part, is permitted for any purpose of the United States Government. - 297 - The typical layout would then be as shown:- (K-l) rel. does. J LKth rel. doe. IN-S) choices including] R- I[OCRerr] rel. docs. J TIME The number of ways in which this layout can be formed is the numerator ' the required ratio and is given by (S-1)C(K_1 iN-S)C ) ' (R -K) The denominator is simply NCR Thus PK, S = {S-1)C(K_I) . (N-S)C(R_K) N CR QK can now be evaluated as indicated above for each value of K from to N (S-I)C(K_I) (N-S)c(R _K) bus QK [OCRerr]t S . N CR S-1 N (N =[OCRerr]-" S(S -i )' -SIc(R-K) (K-1It (S-K): NCR 6 N = K___ [OCRerr] S' (N-S)C(R -K) NCR K: (S-K): S=I N = K CK . -SIc(R_K NCR S=I The terms of the series vanish for K> S> (K+N-R) so that the mlts of S may he changed to give K+N -R QK = "N--cRK [OCRerr] IS(N-S)C(R_K)I Note thatCK " K[OCRerr] R S=K