Problem of the Week

Current Problem (Week of 10/18/24–10/24/24)

There are three groups of boxes below. Group A consists of 3 red boxes, 2 yellow boxes, and 3 blue boxes. Group B consists of 7 blue boxes. Group C consists of 1 red box and 2 yellow boxes. Each box contains some marbles. Boxes that are the same color contain the same number of marbles. There are a total of 49 marbles in the boxes from group A. The total number of marbles in the boxes from group B is 57 more than the total number of marbles in the boxes from group C. How many marbles are in each of the red boxes ?

Last Week’s Problem

Consider all eight-letter strings containing only the letters A and B (for example ABABBAAA). How many such strings do not contain the consecutive letters ABBA?