Question Details

Let S = (0, 1) ∪ (1, 2) ∪ (3, 4) and T = {0, 1, 2, 3}. Then which of the following statements is/are true?

Options

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

Show Answer

Correct Answer :

Option A

There are infinitely many functions from S to T

Option C

The number of continuous functions from S to T is at most 120

Option D

Every continuous function from S to T is differentiable

Solution :

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