Answer:
252 sets
Step-by-step explanation:
The set given to us is:
{0,1,2,3,4,5,6,7,8,9}
Total number of elements in set = n = 10
Number of elements to be included in seach set = r = 5
As the order doesn't matter, we can use the combination formula to find number of different combinations if we choose 5 numbers from the given 10 numbers with no repetition:
C(10,5) = 10!/(5!)(10-5)!
C(10,5) = 10!/(5!)(5!)
C(10,5) = 10·9·8·7·6/ 5·4·3·2·1
C(10,5) = 252
Thus 252 sets can be formed which contains any of the 5 numbers from the sets
