SATHEE: Permutations And Combinations Question 300

Permutations And Combinations Question 300

Question: Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 are [AIEEE 2002]

Options:

A) 216

B) 375

C) 400

D) 720

Show Answer

Answer:

Correct Answer: D

Solution:

0, 1, 2, 3, 5, 7 : Six digits The last place can be filled in by 1, 3, 5, 7. i.e., 4 ways as the number is to be odd. We have to fill in the remaining 3 places of the 4 digit number i.e. I, II, III place. Since repetition is allowed each place can be filled in 6 ways. Hence the 3 place can be filled in 6 × 6 × 6 = 216 ways. But in case of 0 = 216 - 36 = 180 ways. Hence by fundamental theorem, the total number will be = 180 × 4 = 720.

BETA

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on I understand

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें

Permutations And Combinations Question 300

Question: Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 are [AIEEE 2002]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

NCERT Video Solution

Menu