• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer

SAT Blog : SAT Prep Questions, Colleges, Admission

All things SAT. Questions, strategy, updates

All Things SAT®

SAT News and Calendar
SAT Prep Tips & Strategy
SAT Practice Questions
Colleges and Admission

  • Home
  • Blog Home
  • SAT Classes
  • Online SAT Classes
  • Freebies
    • SAT Practice Questions
    • Join SAT Mailing List
You are here: Home / Uncategorized / SAT Counting Methods : Numbers

SAT Counting Methods : Numbers

July 18, 2013 By K S Baskar

Counting methods question

How many 4 digit positive integers can be formed without using either ‘3’ or ‘5’?
a. 3584
b. 5416
c. 6416
d. 4096
e. 4904

Correct Answer : Choice A. 3584

Explanatory Answer

We can count the number of such numbers if we can determine the options available for each of the four digits of the 4-digit number starting with the left most (thousands place).

The left most digit (thousands place) cannot be a 0. It can neither be 3 nor 5. So, the left most digit can be anyone of the other 7 digits.

The second digit from the left (hundreds place) cannot be 3 or 5. So, it can be any of the other 8 digits.

The third digit from the left (tens) place cannot be 3 or 5. So, the tens place also has 8 options.

And finally, the units place, the rightmost digit, cannot be 3 or 5. So, the units place also has 8 options.

Therefore, the number of 4 digit positive integers that can be formed without using either 3 or 5 = 7*8*8*8 = 3584.

Choice A is the correct answer

Share this:

  • Click to share on Twitter (Opens in new window)
  • Click to share on Facebook (Opens in new window)
  • Click to share on Telegram (Opens in new window)
  • Click to share on WhatsApp (Opens in new window)

Related

Filed Under: Uncategorized Tagged With: SAT counting methods, SAT Number Properties, SAT permutation combination

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

SAT Exam Calendar

Next SAT DateOctober 5, 2019
Best wishes for reaching your Target SAT Score.

Subscribe to Blog via Email

Enter your email address to subscribe to this blog and receive notifications of new posts by email.

Join 5 other subscribers

Recent sat prep posts

  • Word Problem in Work and Time
  • SAT Counting Methods : Numbers
  • Number Properties : Divisibility
  • SAT I Quant : Geometry : Scalene Triangles
  • SAT I Quant : Arithmetic Word Problem

Recent Comments

  • Joy on Number Properties : Divisibility
  • oleg on SAT Coordinate Geometry : Equation of a Line
  • Unknown on Word Problem in Work and Time

Categories

  • SAT Practice question (6)
    • SAT Quant (6)
  • Uncategorized (1)

SAT Preparation

Follow Us

  • YouTube
  • Twitter
  • Facebook

Footer

Online SAT Coaching

  1. SAT Diagnostic Test
  2. SAT Topic Test

SAT Prep Questions

  1. Join our Mailing List
  2. SAT Prep Questionbank

SAT Coaching in Chennai

Classes for SAT I in Chennai.

CRACKSAT - SAT Classes
II Floor, Kanya West Wing
48/1 Velachery Taramani Link Road. Chennai 600 042.

Call +91 44 4500 8484

Copyright © 2023 · WIZAKO - Online SAT Coaching, SAT Preparation in Chennai. All rights reserved.
SAT™ & College Board™ are trademarks of respective owners. The College Board does not endorse, nor is it affiliated with the owner or content of this website.