Sam's Math Club

Problems Corner => AMC Problems => Topic started by: admin on August 25, 2019, 04:41:50 PM

Title: 2019 AMC 10 A Problem 17
Post by: admin on August 25, 2019, 04:41:50 PM
2019 AMC 10 A Problem 17

A child builds towers using identically shaped cubes of different color. How many different towers with a height 8 cubes can the child build with 2 red cubes, 3 blue cubes, and 4 green cubes? (One cube will be left out.)

(A)  24 (B) 288 (C) 312 (D)  1,260 (E)  40,320

Click to enlarge the figure

(http://samsmathclub.com/Forum/index.php?action=dlattach;topic=6046.0;attach=1857;image)


AMC 10 Preparation Volume 4 published December 18, 2015:
Example 15. A gardener plants eight trees out of three maple trees, two oak trees, and four birch trees in a row. How many ways are there?
(A) 1260 (B) 1240 (C) 1360 (D) 1480 (E) 1630
(http://samsmathclub.com/Forum/index.php?action=dlattach;topic=6046.0;attach=1858;image)