(a). Mr. and Mrs. Jones have a large family. They want to take all their children on a vacation. When they discussed where to go on their vacation, they discovered that of all their children; (1). 8 refused to go to the family cottage. (ii). 7 refused a resort spot on the ocean. (iii). 9 refused a camping trip. (iv). 3 will go neither to the family cottage nor the resort. (v). 4 will go neither to the resort nor on a camping trip. (vi). 6 will go neither to the family cottage nor on a camping trip. (vii). 2 will not go to the family cottage, the resort spot on the ocean or the camping trip. (viii). No child will agree to go to all the 3 places. How many children do the Jones have?