How many words can be made out of formation?

3-letter Words

aft, aim, ain, air, ait, ami, ani, ant, arf, arm, art, fan, far, fat, fin, fir, fit, fon, for, fro, ion, man, mar, mat, mir, moa, mon, moo, mor, mot, nam, nim, nit, nom, noo, nor, not, oaf, oar, oat, oft, oot, ora, ort, ram, ran, rat, ria, rif, rim, rin, rom, rot, tam, tan, tao, tar, tin, tom, ton, too, tor

4-letter Words

airn, airt, amin, amir, anti, atom, fain, fair, fano, farm, faro, fiar, Fiat, fino, firm, firn, foam, foin, font, foot, fora, form, fort, frat, frit, from, info, inro, into, iota, iron, main, mair, mano, mart, mina, mint, moan, moat, mono, moon, moor, moot, mora, morn, mort, naif, naoi, noma, norm, nota, omit, onto, raft, rain, rami, rani, rant, rato, rift, riot, roam, roan, roof, room, root, rota, roto, tain, tarn, taro, tiro, toom, toon, tora, tori, torn, toro, tram, trim, trio

5-letter Words

afoot, afrit, amino, amort, faint, foram, front, inarm, infra, intro, manor, matin, minor, moira, moron, motif, motor, nitro, nomoi, noria, ratio, riant, roman, toman, train, trona

6-letter Words

aroint, fantom, firman, forint, format, inform, maftir, manito, maroon, martin, matron, morion, motion, ration, ratoon, romano

7-letter Words

amorino, amotion, footman, formant, monitor, oration

9-letter Words

formation