Final answer:
To determine the slot number for each item in the hash table, we can use a hash function that takes into account the length of the item and assigns it to a specific slot based on the result. 'Car' goes in slot number 0, 'penguin' goes in slot number 8, and 'lamp' goes in slot number 6.
Step-by-step explanation:
The question is asking for the slot number in the hash table for each item. To determine the slot number, we can use a hash function that takes into account the length of the item and assigns it to a specific slot based on the result of the hash function. In this case, the hash function could be the sum of the ASCII values of the characters in the item divided by the total number of slots in the hash table.
Let's calculate the slot number for each item:
1. car: The sum of the ASCII values of 'c', 'a', and 'r' is 99 + 97 + 114 = 310. Assuming the hash table has 10 slots, we can use the modulo operator to find the remainder: 310 % 10 = 0. Therefore, 'car' goes in slot number 0.
2. penguin: The sum of the ASCII values of 'p', 'e', 'n', 'g', 'u', 'i', and 'n' is 112 + 101 + 110 + 103 + 117 + 105 + 110 = 798. 798 % 10 = 8. 'Penguin' goes in slot number 8.
3. lamp: The sum of the ASCII values of 'l', 'a', 'm', and 'p' is 108 + 97 + 109 + 112 = 426. 426 % 10 = 6. 'Lamp' goes in slot number 6.