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 Groups of Nine (Posted on 2012-06-15)
Group 1: A, C, I, L, M, O, R, P, S
Group 2: E, L, N, O, P, R, S, T, V
Group 3: E, G, H, M, N, S, U, V, Y
Group 4: A, C, I, J, M, N, O, R, S
Group 5: A, B, D, I, P, R, S, U, W
Group 6: C, D, G, I, L, M, N, S, T
Group 7: A, B, D, E, H, I, O, P, T
Group 8: E, F, H, L, M, N, O, S, T
Group 9: B, C, D, E, L, M, N, R, T

Choose precisely one letter from each group in order to form nine-letter math words. How many words can you find?

Notes:

(i) The letters must be chosen in order. That is, the first letter must be chosen from the first group, the second letter must be chosen from the second group, the third letter from the third group, .... and, so on. However, there is no restriction as to which letter is chosen from a given group.

(ii) Plurals, proper nouns, acronyms, abbreviations, hyphens or spaces are not allowed.

 See The Solution Submitted by K Sengupta No Rating

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 computer solution Comment 1 of 1

DATA  ACILMORPS
DATA  ELNOPRSTV
DATA  EGHMNSUVY
DATA  ACIJMNORS
DATA  ABDIPRSUW
DATA  CDGILMNST
DATA  ABDEHIOPT
DATA  EFHLMNOST
DATA  BCDELMNRT

OPEN "\words\words9.txt" FOR BINARY AS #1
w\$ = SPACE\$(9)

DO
GET #1, , w\$
w\$ = UCASE\$(w\$)
IF EOF(1) THEN EXIT DO
RESTORE
good = 1
FOR i = 1 TO 9
IF INSTR(s\$, MID\$(w\$, i, 1)) = 0 THEN good = 0: EXIT FOR
NEXT
IF good THEN PRINT w\$; " ";
LOOP
CLOSE

The results are shown below.  All were manually changed to lower case, but the ones with mathematical meaning were re-uppercased manually.

`ALGORITHM aluminate assailant assaulted assaulter assistant ASYMPTOTE cessationclumpiest clumsiest coenacted cognation cognition cohabited commanded commandercommitted committee communion communise communism communist commutate concisestconcision conjugant CONJUGATE consisted consulate consulted consulter consultorCOVARIANT creasiest cremation crenation crenulate crumbiest crumblier crumplierinearthed inhabited inhabiter inhibited inhibitor INSCRIBED inscriber insculpedinsistent INVARIANT invisible ITERATION legislate LOGARITHM memoriter menadionemescaline mesoscale messaline monoamine monoplane monostele mosaicism mosaicistoperagoer OPERATION overacted overplant overplied overscale overstate oversteerpegmatite pessimism pessimist plenished pluralism pluralist precisest PRECISIONprenumber president pteridine reemitted reenacted regardant regranted REMAINDERremission remoisten remounted renascent rescinded rescinder resistant resoundedrevisited sensation sensitise spearmint speculate spymaster steadiest sterilantstumpiest sturdiest`

One might think that "conjugant" had a mathematical meaning related to "conjugate", but it's only a biological term. Also "commutate" is in use regarding electronics, as the mathematical term would be "commute".

 Posted by Charlie on 2012-06-15 13:59:16

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