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How many four-digit numbers have "9 before g"?

How many four-digit numbers have "9 before g"?

Advanced Engineering Mathematics
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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Name ### How many four-digit numbers have "9 before g"> ### Find them using R nb=0:9999; success=rep(0, length(nb)) # initialize for (i in 1:9999){ 14=i x4=floor(14/10^3); i3=14-10^3*x4 x3=floor(i3/10^2); i2=13-10^2*x3 x2=floor (i2/10^1); il=12-10^1*x2 x1=i1 if (x4==9){if (x3==0|x2=30|x1==0){success[i]=1} } else(if (x3==9){if (x2==0|x1==0){success[i]=1} } else{if (x2==9 & x1=30) {success[i]=1} } } } # for success=c(0, success) nb90=nb[success=31] nb90[1:20] length(nb90) ### Write down a mathematical solution to the problem. Explain to a memeber of the jury how you found the answer.
Transcribed Image Text:Name ### How many four-digit numbers have "9 before g"> ### Find them using R nb=0:9999; success=rep(0, length(nb)) # initialize for (i in 1:9999){ 14=i x4=floor(14/10^3); i3=14-10^3*x4 x3=floor(i3/10^2); i2=13-10^2*x3 x2=floor (i2/10^1); il=12-10^1*x2 x1=i1 if (x4==9){if (x3==0|x2=30|x1==0){success[i]=1} } else(if (x3==9){if (x2==0|x1==0){success[i]=1} } else{if (x2==9 & x1=30) {success[i]=1} } } } # for success=c(0, success) nb90=nb[success=31] nb90[1:20] length(nb90) ### Write down a mathematical solution to the problem. Explain to a memeber of the jury how you found the answer.
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