SATHEE: Permutations And Combinations Question 352

Permutations And Combinations Question 352

Question: If 12 persons are seated in a row, the number of ways of selecting 3 persons from them, so that no two of them are seated next to each other is

Options:

A) 85

B) 100

C) 120

D) 240

Show Answer

Answer:

Correct Answer: C

Solution:

[c] The number of ways of selecting 3 persons from 12 people under the given condition: = Number of ways of arranging 3 people among 9 people seated in a row, so that no two of them are consecutive = Number of ways of choosing 3 places out of the 10 [8 in between and 2 extremes] $ {{=}^{10}}C_3=\frac{10\times 9\times 8}{3\times 2\times 1}=5\times 3\times 8=120 $

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 352

Question: If 12 persons are seated in a row, the number of ways of selecting 3 persons from them, so that no two of them are seated next to each other is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

Menu