We consider seven distinct boxes such that each box can contain at most seven items.Seven distincts items will be distributed in these boxes.
A. In this part we assume that there is no order inside a box.
i. Find the probability that the seven items are placed in the same box.
ii. Find the probability that the seven items are placed in seven boxes.
iii. Find the probability that the seven items are placed in six boxes.
iv. Find the probability that two specifc items are placed in the same box.
B. In this part we assume that there is an order inside each box.
i. Find the probability that the seven items are placed in the same box.
ii. Find the probability that the seven items are placed in seven boxes.
iii. Find the probability that the seven items are placed in six boxes.
iv. Find the probability that two specifc items are placed in the same box.
A. In this part we assume that there is no order inside a box.
i. Find the probability that the seven items are placed in the same box.
ii. Find the probability that the seven items are placed in seven boxes.
iii. Find the probability that the seven items are placed in six boxes.
iv. Find the probability that two specifc items are placed in the same box.
B. In this part we assume that there is an order inside each box.
i. Find the probability that the seven items are placed in the same box.
ii. Find the probability that the seven items are placed in seven boxes.
iii. Find the probability that the seven items are placed in six boxes.
iv. Find the probability that two specifc items are placed in the same box.