king in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the king would place 2 grains of wheat. On the third square, 4 grains and on the fourth square, 8 grains. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains should be placed on square 25? Also, find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume each grain

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A king in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the king would place 2 grains of wheat. On the third square, 4 grains and on the fourth square, 8 grains. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains should be placed on square 25? Also, find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume each grain weighs 1/7000 of a pound)

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