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Powys (ˈpoʊɪs,_ˈpaʊɪs , ˈpowɪs) is a county and preserved county in Wales. It borders Gwynedd, Denbighshire, and Wrexham to the north; the English ceremonial counties of Shropshire and Herefordshire to the east; Monmouthshire, Blaenau Gwent, Merthyr Tydfil, Caerphilly, Rhondda Cynon Taf, and Neath Port Talbot to the south; and Carmarthenshire and Ceredigion to the west. The largest settlement is Newtown, and the administrative centre is Llandrindod Wells. Powys is the largest and most sparsely populated county in Wales, having an area of and a population of 133,200. After Newtown (11,362), the most populous settlements are Brecon (8,250), Ystradgynlais (8,092), and Welshpool (5,948). The county is entirely rural, and characterised by multiple market towns and villages. The Welsh language can be spoken by 16.4% of the population. The county is predominantly hilly and mountainous. To the west lie the Cambrian Mountains, where the River Severn and River Wye both have their source on the Powys side of the Plynlimon massif; together with their tributaries they drain most of the county. The southern quarter of the county is occupied by the Brecon Beacons (Bannau Brycheiniog) national park, and further north are two more upland areas, Mynydd Epynt and Radnor Forest. The only extensive area of flat land in Powys is the region northwest of Welshpool. The county is named after the Kingdom of Powys, which was a Welsh successor state, petty kingdom and principality that emerged during the Middle Ages following the end of Roman rule in Britain. Powys covers the same area as the historic counties of Montgomeryshire, Radnorshire, and Brecknockshire. Powys covers the historic counties of Montgomeryshire and Radnorshire, most of Brecknockshire, and part of historic Denbighshire. With an area of about , it is now the largest administrative area in Wales by land and area (Dyfed was until 1996 before several former counties created by the Local Government Act 1972 were abolished).

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Ceredigion

Ceredigion (UKˌkɛrəˈdɪɡiən , US-iɒn , kɛrɛˈdɪɡjɔn), historically Cardiganshire, is a county in the west of Wales. It borders Gwynedd across the Dyfi estuary to the north, Powys to the east, Carmarthenshire and Pembrokeshire to the south, and the Irish Sea to the west. Aberystwyth is the largest settlement and, together with Aberaeron, is an administrative centre of Ceredigion County Council. The county is the second most sparsely populated in Wales, with an area of and a population of 71,500; the latter is a decline of 4,492 since the 2011 census.

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Aberystwyth (abɛˈrəstʊɨθ) is a university and seaside town and a community in Ceredigion, Wales. It is the largest town in Ceredigion and from Aberaeron, the county's administrative centre. In 2011, the population of the town was 15,935. Located in the historic county of Cardiganshire, Aberystwyth means "the mouth of the Ystwyth". It has been a major educational location in Wales since the establishment of University College Wales, now Aberystwyth University, in 1872.