Question

How many boxes have at least one sack containing 9 coins?

• A. 3
• B. 4
• C. 5
• D. 8

Answer 1

The Correct Option is C

The objective is to count the number of boxes containing at least one sack with 9 coins. The problem involves two 3x3 tables, each comprising 9 boxes, with each box containing 3 sacks. The criteria for identification are as follows:

1. Boxes in Table 1 where the median is 9 automatically satisfy the condition of having at least one sack with 9 coins.
2. In Table 2, boxes marked with "**" indicate that two or more specified conditions are met, including condition (iii), which guarantees a sack with 9 coins.

Based on these rules, the boxes to be counted are:

• All boxes from Table 1 with a median of 9.
• All boxes from Table 2 marked with "**".

The total count derived from these conditions is 5 boxes, each containing at least one sack with 9 coins.