Final answer:
The set P defined as the set of all odd, positive integers less than 16 has 8 elements. Using the formula 2^n for the number of subsets, we find that P has 256 subsets. The number of subsets contained in set P is 256, which is not listed in the given options, so there might be a mistake in the question or the given options.
Step-by-step explanation:
The set P defined as the set of all odd, positive integers less than 16 has 8 elements. Using the formula 2^n for the number of subsets, we find that P has 256 subsets.
The question asks us to determine the number of subsets contained in set P, where P is defined as the set of all odd, positive integers less than 16. To find the number of subsets of any set, we use the formula 2^n, where n is the number of elements in the set. In set P, the elements would be {1, 3, 5, 7, 9, 11, 13, 15}, which gives us n = 8 elements. Applying the formula, we get:
Number of subsets = 2^8 = 256 subsets.
Therefore, the number of subsets contained in set P is 256, which is not listed in the given options, so there might be a mistake in the question or the given options.