Maths Olympiad Prep

Track / Stage 4 / 132 of 340 #392 of 1964

Problem 392

AMC 12 late, AIME early
Combinatorics Difficulty 4.8 Find the answer

21. Ten people exchanged photographs. How many photographs were needed?

A number or a short expression. Spacing and $ signs are ignored.

Official solution

21. The choice of one person can be made in ten ways, after which this person can give a photograph to nine remaining people. In total, 109=9010 \cdot 9=90 photographs are required.

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