there a way to pair up each backpack witl!l 5, inch of balls. Your first job every morning at tennis camp is to gul whem into a large hopper. Is there a one-to-one correspondence between the balls and the cans? t machine ready for action. You open up some new cans of tennis balls Solidifying Ideas 6. The e same, but unsure how much (H). We have used a method of checking hether two sets of obiects have the same number of things by pairing and ermoving one object from each set until no objects remain. If we run out of objects from both sets at the same time, then we know that the sets con n the same number of things. Otherwise, we know that one set is larger an the other. Describe several scenarios in which we can compare the tai sizes people filling all seats in an auditorium of two collections without computing individual sizes-for example aking stock (S). It turns out that there is a one-to-one correspondence een the New York Stock Exchange symbols for companies and the companies themselves (for example, PE is Philadelphia Electric Company). plain why this correspondence must be one-to-one. What would happen if it were not? Describe potential problems. n't count on it. The following are two collections of the symbols @ and : e @@ ere more @'s than s? Describe how you can quickly answer the g, and explain the connection with the notion of a question without countin one-to-one correspondence. 9. Here's looking @. The following collections contain the symbols@ and Are there more@'s than's? Describe how you can quickly answer the ques- tion without actually counting, and explain the connection with the notion of a one-to-one correspondence. 10. Enough underwear. When Deb packs for a trip, she doesn't count the num- ber of days she will be away and then count out that many pairs of under- wear. Instead, she places underwear into her suitcase, one at a time, and says the name of each day she will be away: "Monday" (and places one in), Tuesday" (and places another in), "Wednesday," etc. Using this method does Deb know the number of underwear she placed in her bag? Does she have enough underwear for her trip? Discuss the connection this true story has with the notion of a one-to-one correspondence. there a way to pair up each backpack witl!l 5, inch of balls. Your first job every morning at tennis camp is to gul whem into a large hopper. Is there a one-to-one correspondence between the balls and the cans? t machine ready for action. You open up some new cans of tennis balls Solidifying Ideas 6. The e same, but unsure how much (H). We have used a method of checking hether two sets of obiects have the same number of things by pairing and ermoving one object from each set until no objects remain. If we run out of objects from both sets at the same time, then we know that the sets con n the same number of things. Otherwise, we know that one set is larger an the other. Describe several scenarios in which we can compare the tai sizes people filling all seats in an auditorium of two collections without computing individual sizes-for example aking stock (S). It turns out that there is a one-to-one correspondence een the New York Stock Exchange symbols for companies and the companies themselves (for example, PE is Philadelphia Electric Company). plain why this correspondence must be one-to-one. What would happen if it were not? Describe potential problems. n't count on it. The following are two collections of the symbols @ and : e @@ ere more @'s than s? Describe how you can quickly answer the g, and explain the connection with the notion of a question without countin one-to-one correspondence. 9. Here's looking @. The following collections contain the symbols@ and Are there more@'s than's? Describe how you can quickly answer the ques- tion without actually counting, and explain the connection with the notion of a one-to-one correspondence. 10. Enough underwear. When Deb packs for a trip, she doesn't count the num- ber of days she will be away and then count out that many pairs of under- wear. Instead, she places underwear into her suitcase, one at a time, and says the name of each day she will be away: "Monday" (and places one in), Tuesday" (and places another in), "Wednesday," etc. Using this method does Deb know the number of underwear she placed in her bag? Does she have enough underwear for her trip? Discuss the connection this true story has with the notion of a one-to-one correspondence