A community for students.
Here's the question you clicked on:
 0 viewing
mathmath333
 one year ago
How many natural numbers not more than 4300
can be formed with the digits 0,1,2,3,4
(if repetitions are not allowed
mathmath333
 one year ago
How many natural numbers not more than 4300 can be formed with the digits 0,1,2,3,4 (if repetitions are not allowed

This Question is Closed

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \color{black}{\begin{align} & \normalsize \text{ How many natural numbers not more than 4300}\hspace{.33em}\\~\\ & \normalsize \text{ can be formed with the digits 0,1,2,3,4}\hspace{.33em}\\~\\ & \normalsize \text{ (if repetitions are not allowed)}\hspace{.33em}\\~\\ & a.)\ 113 \hspace{.33em}\\~\\ & b.)\ 158 \hspace{.33em}\\~\\ & c.)\ 154 \hspace{.33em}\\~\\ & d.)\ 119 \hspace{.33em}\\~\\ \end{align}}\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.20001 to 3421 = 4*4*3*21=95 4012 to 4300(excluded) = 1*3*3*2=18 Total 95+18=113

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1answer given is b.) 158

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.11digit numbers: 1, 2, 3, 4: 4 numbers 2digit numbers: 4 * 4 = 16 3digit numbers: 4 * 4 * 3 = 48 4digit numbers: Starting with 1, 2, 3: 3 * 4 * 3 * 2 = 72 4digit number: Starting with 4: 4012, 4021, 4102, 4120, 4201, 4210, 4013, 4031, 4103, 4130, 4023, 4032, 4023, 4230, 4123, 4132, 4213, 4231: 18 numbers Total: 4 + 16 + 48 + 72 + 18 = 158 numbers

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1how can one find this without listing it. 4digit number: Starting with 4: 4012, 4021, 4102, 4120, 4201, 4210, 4013, 4031, 4103, 4130, 4023, 4032, 4023, 4230, 4123, 4132, 4213, 4231: 18 numbers

mathmate
 one year ago
Best ResponseYou've already chosen the best response.2Yep, I overlooked that fact that leading zeroes can be repeated! thank you @mathstudent55 we have 1 choice for digit 1 {4} 3 choices for digit 2 {0,1,2} 3 remaining choices for digit 3 2 remaining choices for digit 4 for a total of 1*3*3*2=18 numbers.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.