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Difficulty: 2/102022 NMTC 2022 (QII-55)

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: Note that each member sends a card to everyone in the colony except themselves ( cards).

Hint 2: Multiply the total number of members (55) by the cards sent per member (54).

Hint 3: Perform the multiplication of 55 and 54 to find the total number of greeting cards exchanged.

Solution

Step 1 (Greeting Card Distribution Logic): In a colony of 55 members, each member posts a greeting card to all other members. This means each member sends a card to exactly people.

Step 2 (Calculate Total Cards): Since there are 55 members and each of them sends 54 cards, the total number of greeting cards posted is:

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

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    2022 NMTC 2022 QII-55 - Olympiad Math Olympiad Question | Leminno