Maths Olympiad Prep

Track / Stage 5 / 266 of 400 #866 of 1964

Problem 866

AIME late
Algebra Difficulty 5.6 Find the answer

2. Find the values of the following products
a) j=152\prod_{j=1}^{5} 2
c) j=15j2\prod_{j=1}^{5} j^{2}
b) j=15j\prod_{j=1}^{5} j
d) j=152j\prod_{j=1}^{5} 2^{j}.

A number or a short expression. Spacing, $ signs and \frac vs / are all fine.

Official solution

2. a) 32 b) 120 c) 14400 d) 32768

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.