If f: A → B is an injection such that range of f = {a}. Determine the number of elements in A.
TIP: – One – One Function: – A function is said to be a one – one functions or an injection if different elements of A have different images in B.
So, is One – One function
⇔ a≠b
⇒ f(a)≠f(b) for all
⇔ f(a) = f(b)
⇒ a = b for all
Here, Range {f} = {a}
Since it is injective map, different elements have different images.
Thus A has only one element