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In an assembly of 10 scholars , three a...

In an assembly of 10 scholars , three are mathematicians and three are physicists , the others are both physicists and mathematicians . There are two rows containing 5 chairs and it is intended that all mathematicians are to be seated in one row and the physicsts in the other , the remaining scholars are to be seated in either row in the vacant positions left .In how many ways can all the scholars be seated ?

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