In F# Language, please provide sample output.

Write a function

downTo : int -> int list

so that downTo n returns the n-element list [n; n-1; . . .; 1].

You must use if-then-else expressions to define the function.

Secondly define the function downTo2 having same semantics as downTo. This time you must use pattern matching.

Write another function

removeOddIdx : int list -> int list

so that removeOddIdx xs removes the odd-indexed elements from the list xs:

removeOddIdx [x0; x1; x2; x3; x4; ...] = [x0; x2; x4; ...]

removeOddIdx [] = []

removeOddIdx [x0] = [x0]