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A,B,C& D STANDS AT FOUR CORNERS OF A SQUARE P,Q,R,S RESPECTIVELY. THEY WALK ALONG THE PERIMETER OF THE SQUARE AT SPEEDS IN THE RATIO 1:2:3:4 . A MOVES TOWARDS B, B MOVES TOWARDS C, C MOVES TOWARDS D & D MOVES TOWARDS A, WHO CATCHES UP WITH WHOM

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A group of 10 army persons is to be sent on a mission. The group is to be selected from six men commanders and ten lieutenants comprising of 5 men lieutenants and 5 women lieutenants. In how many ways can this be done, if the group must have at least four commanders and at least four lieutenants with at least 2 men lieutenants and 2 women lieutenants?
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