IIT JEE 1982 Maths - 'Adapted' - FIB to Multi-Correct Q21

A variable takes value x with frequency $^{n+1-x}C_x, x = 0, 1, 2, 3, ..., n$ . The mode of the variable is $f(n)$ . Then which of the following is/are correct?

• (A) $f(20)=6$
• (B) $f(25)=8$
• (C) $f(30)=10$
• (D) $f(35)=12$

Enter your answer as a 4 digit string of 1s and 9s - 1 for correct option, 9 for wrong. Eg. 1199 indicates A and B are correct, C and D are incorrect. None, one or all may also be correct.

In case you are preparing for IIT JEE, you may want to try IIT JEE 1982 Mathematics Archives