As seen in this Pascal's Triangle: 1 1 1 1 1 1 3 3 1 1 4 6. 4 1 Each row begins and ends with 1. Each interior entry is the sum of the two entries above it. For example, in the last row given here, 4 is the sum of 1 and 3,6 is the sum of 3 and 3, and 4 is the sum of 3 and 1. If we number both the rows and the entries in each row beginning with 0, the entry in positionk of row n is often denoted as C(n, k). For example, the 6 in the last row is C(4, 2). Given n items, C(n, k) turns out to be the number of ways number of that you can select k of the n items. Thus, C(4, 2), which is 6, is the ways that you can select two of four qiven items. So if A, B, C, and D are the four items, here are the six possible cho ices: А В, А С, A D, BС, BD, CD Note that the order of the items in each pair is irrelevant. For instance, the choice AB is the same as the choice B A.

As seen in this Pascal's Triangle: 1 1 1 1 1 1 3 3 1 1 4 6. 4 1 Each row begins and ends with 1. Each interior entry is the sum of the two entries above it. For example, in the last row given here, 4 is the sum of 1 and 3,6 is the sum of 3 and 3, and 4 is the sum of 3 and 1. If we number both the rows and the entries in each row beginning with 0, the entry in positionk of row n is often denoted as C(n, k). For example, the 6 in the last row is C(4, 2). Given n items, C(n, k) turns out to be the number of ways number of that you can select k of the n items. Thus, C(4, 2), which is 6, is the ways that you can select two of four qiven items. So if A, B, C, and D are the four items, here are the six possible cho ices: А В, А С, A D, BС, BD, CD Note that the order of the items in each pair is irrelevant. For instance, the choice AB is the same as the choice B A.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter4: Selection Structures

Section: Chapter Questions

Problem 14PP

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