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Functions question

2023 · Shift 1 · Q18

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PYQ Library
JEE Advanced
Mathematics
Functions
2023 · Shift 1 · Q18

Functions question

2023 · Shift 1 · Q18

JEE AdvancedMathematicsFunctionsMultiple correct+4 / −2

Let

S=(0,1) \cup(1,2) \cup(3,4)

and

T=\{0,1,2,3\}

. Then which of the following statements is(are) true?

A
There are infinitely many functions from $S$ to $T$
B
There are infinitely many strictly increasing functions from $S$ to $T$
C
The number of continuous functions from $S$ to $T$ is at most 120
D
Every continuous function from $S$ to $T$ is differentiable

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