Order of picking matters means,(1). a,b,c (2)a,c,b ,both (1) and (2) are treated as different.
Order of picking does not matters means,(1). a,b,c (2)a,c,b ,both (1) and (2) are treated as same.
(i) Repetition is not allowed and the order of picking matters = C(n , r) ⨉ P(r , r)
= C(n , r) ⨉ r! = P(n , r) = n! / (n-r)! = It is eqt to say Permutation of r objects in the pool of n object.
(ii) Repetition is allowed and the order of picking does not matter = C(n+r-1 , r)
= (n+r-1)! / r!(n-1)! = It is eqt to say the combination of r objects in n objects with unlimited repetition is allowed.
The correct answer is (A).