Q. 25.0( 4 Votes )

How many different boat parties of 8, consisting of 5 boys and 3 girls, can be made from 25 boys and 10 girls?

Answer :

Given we need to find the different boat parties of 8, consisting of 5 boys and 3 girls.


The selections of girls and boys are to be made from 25 boys and 10 girls.


Let us assume the number of ways of choosing to be N.


N = (no. of ways of choosing 5 boys) × (No. of ways of choosing 3 girls)


N = (25C5) × (10C3)


We know that ,


And also n! = (n)(n – 1)(n – 2)…………2.1





N = (53130) × (120)


N = 6375600


The total no. of different boat parties are 6375600 ways.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Challenging Quiz on P&C | Test YourselfChallenging Quiz on P&C | Test YourselfChallenging Quiz on P&C | Test Yourself55 mins
Permutations & Combinations | Analyze your learningPermutations & Combinations | Analyze your learningPermutations & Combinations | Analyze your learningFREE Class
Understand Permutations like never beforeUnderstand Permutations like never beforeUnderstand Permutations like never before60 mins
Check Your progress Part 2| Interactive Quiz: Permutation & CombinationCheck Your progress Part 2| Interactive Quiz: Permutation & CombinationCheck Your progress Part 2| Interactive Quiz: Permutation & Combination54 mins
Lecture on CombinationsLecture on CombinationsLecture on Combinations49 mins
Interactive Quiz on Division and distribution of objectsInteractive Quiz on Division and distribution of objectsInteractive Quiz on Division and distribution of objects17 mins
Interactive Quiz on CombinationsInteractive Quiz on CombinationsInteractive Quiz on Combinations50 mins
Lets see how good you can manage numbers | P&C Quiz ChallengeLets see how good you can manage numbers | P&C Quiz ChallengeLets see how good you can manage numbers | P&C Quiz Challenge41 mins
Ladoo Bhikhari ConceptLadoo Bhikhari ConceptLadoo Bhikhari Concept46 mins
Indepth Understanding of FactorialsIndepth Understanding of FactorialsIndepth Understanding of Factorials56 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :