November 26, 2024
Explanation:
(a) Th given expression can also be written as 17−x C 3x+1.
at x = 0, we get 17 C 1 (an integer)
at x = 1,we get 16 C 4 (an integer)
at x = 2,we get 15 C 7 (an integer)
at x = 3,we get 14 C 10 (an integer)
at x = 4, we get 13 C 13 (an integer)
at x = 5, we get 12 C 16 (the expression is not defined)
After putting x = 5 or more, the expression will not be defined.
So,x can take only 5 values i.e. 0, 1, 2, 3, 4. Ans.