brazil-enem 2025 Q169

brazil-enem · Other · enem__day2 Permutations & Arrangements Distribution of Objects into Bins/Groups
A father bought eight different gifts (among which, a bicycle and a cell phone) to give to his three children. He intends to distribute the gifts so that the oldest and youngest children receive three gifts each, and the middle one receives the two remaining gifts. The oldest will receive, among his gifts, either a bicycle or a cell phone, but not both.
In how many distinct ways can the distribution of gifts be made?
(A) 36
(B) 53
(C) 300
(D) 360
(E) 560
A father bought eight different gifts (among which, a bicycle and a cell phone) to give to his three children. He intends to distribute the gifts so that the oldest and youngest children receive three gifts each, and the middle one receives the two remaining gifts. The oldest will receive, among his gifts, either a bicycle or a cell phone, but not both.

In how many distinct ways can the distribution of gifts be made?\\
(A) 36\\
(B) 53\\
(C) 300\\
(D) 360\\
(E) 560