SATHEE: Permutations And Combinations Question 145

Permutations And Combinations Question 145

Question: All possible two factors products are formed from numbers 1, 2, 3, 4, …., 200. The number of factors out of the total obtained which are multiples of 5 is

Options:

A) 5040

B) 7180

C) 8150

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

The total number of two factor products $ {{=}^{200}}C_2 $ . The number of numbers from 1 to 200 which are not multiples of 5 is 160. Therefore total number of two factor products which are not multiple of 5 is $ ^{160}C_2 $ . Hence the required number of factors $ {{=}^{200}}C_2{{-}^{160}}C_2=7180 $ .

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".

Permutations And Combinations Question 145

Question: All possible two factors products are formed from numbers 1, 2, 3, 4, …., 200. The number of factors out of the total obtained which are multiples of 5 is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

Menu