How many ways a 6 member team can be formed having three men and three ladies from a group of 6 men and 7 ladies?

How many ways a 6 member team can be formed having three men and three ladies from a group of 6 men and 7 ladies?

Why Aptitude Permutation and Combination?

In this section you can learn and practice Aptitude Questions based on "Permutation and Combination" and improve your skills in order to face the interview, competitive examination and various entrance test (CAT, GATE, GRE, MAT, Bank Exam, Railway Exam etc.) with full confidence.

Where can I get Aptitude Permutation and Combination questions and answers with explanation?

IndiaBIX provides you lots of fully solved Aptitude (Permutation and Combination) questions and answers with Explanation. Solved examples with detailed answer description, explanation are given and it would be easy to understand. All students, freshers can download Aptitude Permutation and Combination quiz questions with answers as PDF files and eBooks.

Where can I get Aptitude Permutation and Combination Interview Questions and Answers (objective type, multiple choice)?

Here you can find objective type Aptitude Permutation and Combination questions and answers for interview and entrance examination. Multiple choice and true or false type questions are also provided.

How to solve Aptitude Permutation and Combination problems?

You can easily solve all kind of Aptitude questions based on Permutation and Combination by practicing the objective type exercises given below, also get shortcut methods to solve Aptitude Permutation and Combination problems.

1. 

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

Answer: Option D

Explanation:

We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).


2. 

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

Answer: Option C

Explanation:

The word 'LEADING' has 7 different letters.

When the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters LNDG (EAI).

Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

How many ways a 6 member team can be formed having three men and three ladies from a group of 6 men and 7 ladies?
Required number of ways = (120 x 6) = 720.

Video Explanation: https://youtu.be/WCEF3iW3H2c

How many ways a 6 member team can be formed having three men and three ladies from a group of 6 men and 7 ladies?

How many ways a 6 member team can be formed having three men and three ladies from a group of 6 men and 7 ladies?

Try Numerade free for 7 days

Your browser does not support the video tag.

Discussion

You must be signed in to discuss.

Video Transcript

Thanks for this problem. We want to um find a group of three men and three ladies from a population of six men and six ladies. So what are we going to do is we want to find a number of a number of ways. We choose three men from the rule of six men and we're going to multiply that. But a number of ways we can choose three ladies from a group of seven ladies. So Number of ways you can choose three men from group six men. It's gonna be six, choose suit. And a number of ways to into three ladies from seven ladies is gonna be 7 to 3. He's gonna go to six factorial over three factorial times three factorial multiplied by seven factorial times three factorial four factorial putting down to the calculator or you can spin it and you can see my hand for the sake of this video. We're putting it on the club later. You need that 700. I'm just in case you don't know. An N. Factorial is gonna be in terms and minus one times a minus to consider until you reach one. So five factorial for example would be five times four times three times two times what? Mhm. Yeah I hope that have

Numerade has step-by-step video solutions, matched directly to more than +2,000 textbooks.

How many ways a 6 member team can be formed having three men and three ladies from a group of 6 men and 7 ladies?

Top Probability Educators

How many ways a 6 member team can be formed having three men and three ladies from a group of 6 men and 7 ladies?

Andrew K.

University of California - Los Angeles

How many ways a 5 member team can be formed having 3 men and 2 ladies?

(∵ncr=n! r! (n−r)!) Hence in a committee of 5 members selected from 6 men and 5 women consisting 3 men and 2 women is 200 ways.

What is the number of possible words that can be made using the word quiz such that the vowels never come together Choices 8/12 16 24?

Hence, the number of words can be made such that vowels never come together = 24 – 12 = 12 ways.

What does 10p5 mean Quizizz?

116280. 120 seconds. Q. What does 10P5 mean? Permutations with 5 choices and 10 positions.