The word admissibilities is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 23
Highest Scoring Words With Friends™ Play In The Letters admissibilities
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Seven Letter Word Alert: (67 words)
abseils, aidless, aimless, albites, alibies, astilbe, baldest, bassets, bassist, bedlams, bedsits, beldams, biassed, biasses, bimetal, blasted, blissed, blisses, dailies, daisies, damsels, delimbs, delimit, delists, demasts, demists, desalts, desilts, desists, details, dilates, disable, dismals, dismiss, distils, elitism, iambist, ileitis, lassies, liaised, liaises, libated, libates, limited, mildest, militia, misdate, misdeal, misdial, misedit, mislaid, mislead, missaid, missals, misseat, missile, sadisms, sadists, sidelit, siestas, similes, stabled, stables, stimied, stimies, tassels, timbale