, , , and and will get +1 marks; choosing ONLY There are infinitely many functions from S to T

, and and will get +2 marks; choosing ONLY and will get +1 marks; choosing ONLY There are infinitely many strictly increasing functions from S to T

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

. ONE OR MORE THAN ONE of these four option(s) is(are) correct answer(s). • For each question, choose the option(s) corresponding to (all) the correct answer(s). • Answer to each question will be evaluated according to the following marking scheme: Full Marks : +4 ONLY if (all) the correct option(s) is(are) chosen; Partial Marks : +3 If all the four options are correct but ONLY three options are chosen; Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of which are correct; Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a correct option; Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered); Negative Marks : -2 In all other cases. • For example, in a question, if are the ONLY three options corresponding to correct answers, then choosing ONLY will get +4 marks; choosing ONLY will get +2 marks; choosing ONLY will get +2 marks; choosing ONLY will get +1 marks; choosing no option (i.e. the question is unanswered) will get 0 marks; and choosing any other combination of options will get -2 marks. Let S = (0,1) (1,2) (3,4) and T = {0,1,2,3}. Then which of the following statements is(are) true ? Every continuous function from S to T is differentiable