Question

If set S has 511 proper subsets. find its cardinal number.

a. 512
b. 256
c. 10
d. 9

(please give step by step Explanation)​

Answer 1

hahagshsh kar it d do to up

Answer 2

Answer: d. 9

Step-by-step explanation:

Number of proper subsets = 511

Cardinal number = n

The set S has n elements, then the number of proper subsets of S is  2^n-1

Hence, 2^n = 511+1 = 512 or 2^9. Thus, n = 9