A set X has 5 elements; find the number of proper subsets of X.
31
A set with n elements has \(2^n\) subsets.
For n = 5, the number of subsets is \(2^5 = 32\).
A proper subset is any subset other than the set itself, so we remove one subset: \(2^5 - 1 = 32 - 1 = 31\).
Hence, the answer is 31.
The number of proper non-empty subsets of a set with 10 elements are _____.
If A is an open set and B is a closed set, then B - A is
If P and Q be two sets such that P ∪ Q = P, then P ∩ Q will be
A set containing n elements, has exactly ..... subsets.
If P, Q and R are three sets, then which of the following is correct?
Of the members of three athletic teams in a school, 21 are in the cricket team, 26 are in the hockey team and 29 are in the football team. Among them, 14 play hockey and cricket, 15 play hockey and football, 12 play football and cricket and 8 play all the three games. The total number of members in the three athletic teams is: