Given a hash table with 100 buckets, where will the item 334 be inserted if using a modulo hash function?

To determine where the item 334 will be inserted in a hash table with 100 buckets using a modulo hash function, you will apply the formula:

hash_value = item_value % number_of_buckets

In this specific case, the item value is 334, and the number of buckets is 100. Thus, the hash value is calculated as follows:

hash_value = 334 % 100

Performing the modulo operation, you divide 334 by 100, which gives you a quotient of 3 with a remainder of 34. The remainder reflects which bucket the item will be placed in, as it effectively represents the number of full buckets (100) that fit within the value of 334. Consequently, the item 334 will be placed in bucket 34.

This calculation illustrates how the modulo function helps map a potentially larger range of values (like 334) into a smaller range corresponding to the number of available buckets (0 through 99, in this case). Thus, the correct insertion point for the item 334 is indeed in bucket 34.