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Difficulty: 2/102023 NMTC 2023 (QII-56)

In colony, there are 55 members. Every member posts greeting card to all the members. How many greeting cards were posted by them?

Guide / Hint

Hint 1: Calculate the cards posted by a single member, which is 54.

Hint 2: Multiply this by the total number of members (55).

Hint 3: Perform the multi-digit multiplication of the total number of members by the cards sent per member to get the final count.

Solution

Step 1 (Formulate Greeting Cards logic): In a colony of 55 members, each member posts a card to all other members. Therefore, each member sends exactly cards.

Step 2 (Calculate total product): Since there are 55 members and each sends 54 cards, the total cards posted is:

Step 3 (Conclusion): The total number of greeting cards posted is exactly 2970.

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    2023 NMTC 2023 QII-56 - Olympiad Math Olympiad Question | Leminno