JEE Advanced 2023 · Paper 1 · one or more correct

JEE Advanced 2023 Mathematics question on Sets Relations and Functions

Let S=(0,1)∪(1,2)∪(3,4)S = (0,1) \cup (1,2) \cup (3,4) and T={0,1,2,3}T = \{0,1,2,3\}. Then which of the following statements is(are) true?
  1. A.
    There are infinitely many functions from SS to TT
  2. B.
    There are infinitely many strictly increasing functions from SS to TT
  3. C.
    The number of continuous functions from SS to TT is at most 120
  4. D.
    Every continuous function from SS to TT is differentiable
Show answer

Correct options: A, C, D

[JEE Advanced 2023 · Paper 1]

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