SATHEE: Permutations And Combinations Question 49

Permutations And Combinations Question 49

Question: The number of different words that can be formed out of the letters of the word ‘MORADABAD’ taken four at a time is

Options:

A) 500

B) 600

C) 620

D) 626

Show Answer

Answer:

Correct Answer: D

Solution:

In MORADABAD, we have 6 different types of letters $ 3A^{s} $ , $ 2D^{s} $ and rest four different. We have to form words of 4 letters. (i) All different $ ^{6}P_4=6\times 5\times 4\times 3=360 $ . (ii) Two different two alike $ ^{2}C_1{{\times }^{5}}C_2\times \frac{4\ !}{2!}=240 $ (iii) 3 alike 1 different $ ^{1}C_1{{\times }^{5}}C_1\times \frac{4\ !}{3\ !}=20 $ (iv) 2 alike of one type and 2 alike of other type $ ^{2}C_2\times \frac{4\ !}{2\ !\ 2\ !}=6 $ Therefore total number of words $ =360+240+20+6=626 $ .

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 49

Question: The number of different words that can be formed out of the letters of the word ‘MORADABAD’ taken four at a time is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

NCERT Video Solution

Menu