Question

How many proper subsets does the set I, musical instruments, have? I={ piano, flute, violin, guitar, trumpet, saxophone, cello, harmonica }

Select the correct answer below:


255
250
256
252

Answer 1

Explanation:

Here are the step-by-step instructions:

Count the number of elements in the set. In this case, the set I has 8 elements.

Use the formula 2^n to calculate the total number of possible subsets, where n is the number of elements in the set. For this set, n = 8, so 2^8 = 256.

Subtract 2 from the result to get the number of proper subsets. The 2 represents the empty set and the set itself, which are not proper subsets. So, 256 - 2 = 254.

Therefore, the number of proper subsets of the set I is 254.