D. Solve the following problems using the 4 Steps of George Polya.1. X, Y, 2 collect stamps. They exchange stamps among themselvesaccording to the following scheme: X gives Y as many stamps as Y hasand Z as many stamps ae Z hes. After that, Y gives X and Z as manystamps as each then has, and then Z gives X and Y as many stamps ascach has. If each Anaily has 64 atamps, with how many stamps does XBtart?2. Mrs. Dizon withdrew % of her savings early in July and later depositeda total of Php 1,500 on four separate days. If her bank statementshowed a balance of php3,500 after four deposits, what was the balanceimmediately before her withdrawal?3. Manny rode hia bicycle 6 km east, 4 km west, and then 5 km cast. Howfar is he from his scarting point?4. Two boats leave a river dock and travel in opposite directions. Boat Xtravels 8 km east, where its cargo is unloaded. Boat Y travels 6 kmwest, where its passengers disembark. At 2:00 PM. Boat X has traveled4 km cast of its firat stop, and Boat B has traveled 3 km east form itsstop. How far apart are the boata at 2:00 PM?5. T. U. W, X, Y, and Z are points on a circle. Each of these points isconnected to each other by a line segment. How many line segments arethere?CS Scanned with CamScanner

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X, Y, Z collect stamps. They exchange stamps anong themselves according to the following scheme: X gives Y as many stamps as Y has and Z as many stamps as Z has. After that, Y gives X and Z as many stamps as each then has, and then Z gives X and Y as many stamps as cach has. If each Anaily has 64 atamps, with how many stamps does X start?

X, Y, Z collect stamps. They exchange stamps anong themselves according to the following scheme: X gives Y as many stamps as Y has and Z as many stamps as Z has. After that, Y gives X and Z as many stamps as each then has, and then Z gives X and Y as many stamps as cach has. If each Anaily has 64 atamps, with how many stamps does X start?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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D. Solve the following problems using the 4 Steps of George Polya.
1. X, Y, 2 collect stamps. They exchange stamps among themselves
according to the following scheme: X gives Y as many stamps as Y has
and Z as many stamps ae Z hes. After that, Y gives X and Z as many
stamps as each then has, and then Z gives X and Y as many stamps as
cach has. If each Anaily has 64 atamps, with how many stamps does X
Btart?
2. Mrs. Dizon withdrew % of her savings early in July and later deposited
a total of Php 1,500 on four separate days. If her bank statement
showed a balance of php3,500 after four deposits, what was the balance
immediately before her withdrawal?
3. Manny rode hia bicycle 6 km east, 4 km west, and then 5 km cast. How
far is he from his scarting point?
4. Two boats leave a river dock and travel in opposite directions. Boat X
travels 8 km east, where its cargo is unloaded. Boat Y travels 6 km
west, where its passengers disembark. At 2:00 PM. Boat X has traveled
4 km cast of its firat stop, and Boat B has traveled 3 km east form its
stop. How far apart are the boata at 2:00 PM?
5. T. U. W, X, Y, and Z are points on a circle. Each of these points is
connected to each other by a line segment. How many line segments are
there?
CS Scanned with CamScanner

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