Track / Stage 4 / 232 of 340 #492 of 1964

Problem 492

AMC 12 late, AIME early

Combinatorics Difficulty 4.9 Find the answer

16. (3 points) From five stamps with a face value of 1 yuan and four stamps with a face value of 1.60 yuan, if one or several stamps are taken, the number of different postage amounts that can be formed is $\qquad$ kinds.

Your answer

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

Official solution

【Answer】Solution: According to the analysis, we get: $6 \times 5-1=29$ (types);

Answer: 29 different postage rates can be formed. Therefore, the answer is: 29.

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