A warehouse contains 175 boots of size 8, 175 boots of size 9 and 200 boots of size 10. Of these 550 boots, 250 are for the left foot and 300 for the right foot. Let n denote the total number of usable pairs of boots in the warehouse. (A usable pair consists of a left and a right boot of the same size.)(a) Is n=50 possible?(b) Is n=51 possible? combinatorics unsolvedcombinatorics