Counting problem involving numbered cards

[Milly]

How to solve ii (b) ? Thanks in advance.

 

[MarkFL]

Hello, Milly! :D

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[Milly]

I actually tried out by using 5P2 but it didn't work.

 

[soroban]

Hello, Milly!

How to solve ii (b)?

7. Nine cards are numbered: 1, 2, 2, 3, 3, 4, 6, 6, 6.

(ii) Three of the nine cards are chosen and placed in a line,
. . .making a 3-digit number.

Find how many different numbers can be made in this way
(b) if the number is between 200 and 300.

The easiest solution is to simply list them.

. . $$\begin{array}{ccccc} 212 & 221 & 231 & 241 & 261 \\ 213 & 223 & 232 & 242 & 2 62 \\ 214 & 224 & 233 & 243 & 263 \\ 216 & 226 & 234 & 2 46 & 264 \\ && 236 && 266 \end{array}$$

Answer: 22

 

[CellCoree]

To solve ii (b), we need to first understand what the question is asking. It is likely that the question is referring to a specific problem involving numbered cards, and ii (b) is a specific part or sub-problem of that larger problem.

To solve this specific part, we would need to gather all the necessary information and variables, such as the number of cards involved, the range of numbers on the cards, and any other given constraints or rules. Then, we would need to apply a counting strategy or formula to determine the total number of possible outcomes for this specific part.

It is difficult to provide a specific solution without more context or information about the problem. However, some common counting strategies that could be used to solve ii (b) include permutations, combinations, and the multiplication principle.

In general, when faced with a counting problem involving numbered cards, it is important to carefully read and understand the question, identify all relevant variables and constraints, and then apply a suitable counting strategy to find the solution.