Maths Olympiad Prep

Track / Stage 4 / 292 of 340 #552 of 1964

Problem 552

AMC 12 late, AIME early
Combinatorics Difficulty 5.0 Find the answer

At the meeting, 6 speakers: A, B, V, G, D, E should speak. In how many ways can the order of their speeches be arranged if B must speak immediately after A.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

46. Let's take just 5 speakers: A, B, C, D, E. The order of their speeches can be arranged in 5!=1205!=120 ways. If B speaks immediately after A, the number of ways remains the same.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.