   Chapter 9.7, Problem 10ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# (a) Use Pascal’s triangle given in Table 9.7.1 to compute the values of ( 2 6 ) , ( 3 6 ) , ( 4 6 ) , and ( 5 6 ) .(b) Use the result of part (a) and Pascal’s formula to compute ( 3 7 ) , ( 4 7 ) , and ( 5 7 ) .(c) Complete the row of Pascal’s triangle that corresponds to n = 7 .

To determine

(a)

To compute the values of (62),(63),(64) and (65) using Pascal’s table.

Explanation

Concept used:

Pascal’s formula; ( n+1r)=(n r1)+(nr)

Given information :

Table 9.7.1

Calculation:

( n+1r)=(n r1)+(nr)

When n=5, r=2

(62)=(51)+(52)

Using Table 9.7.1;

(62)=(51)+(52)=5+10=15

When n=5, r=3

(63)=(52)+(53)

Using Table 9

To determine

(b)

To use the result of part (a) and Pascal’s formula to compute (73),(74) and (75).

To determine

(c)

To complete the row of Pascal’s triangle that corresponds to n=7.

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