Let S = (0, 1) ∪ (1, 2) ∪ (3, 4) and T = 0, 1, 2, 3 . Then which of the following…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let S = (0, 1) ∪ (1, 2) ∪ (3, 4) and T = {0, 1, 2, 3}.
Then which of the following statements is(are) true?
Then which of the following statements is(are) true?
- There are infinitely many functions from S to T
- There are infinitely many strictly increasing functions from S to T
- The number of continuous functions from S to T is at most 120
- Every continuous function from S to T is differentiable
Answer
(A) There are infinitely many functions from S to T
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