SATHEE: Permutations and Combinations 3 Question 3

Permutations and Combinations 3 Question 3

3. Consider three boxes, each containing 10 balls labelled $1, 2, \dots, 10$ . Suppose one ball is randomly drawn from each of the boxes. Denote by $n_{i}$ , the label of the ball drawn from the $i$ th box, $(i = 1, 2, 3)$ . Then, the number of ways in which the balls can be chosen such that $n_{1} < n_{2} < n_{3}$ is

(2019 Main, 12 Jan I)

(a) 82

(b) 120

(d) 164

Show Answer

Answer:

Correct Answer: 3. (b)

Solution:

Given there are three boxes, each containing 10 balls labelled 1, 2, 3, … , 10 .

Now, one ball is randomly drawn from each boxes, and $n_{i}$ denote the label of the ball drawn from the $i$ th box, $(i = 1, 2, 3)$ .

Then, the number of ways in which the balls can be chosen such that $n_{1} < n_{2} < n_{3}$ is same as selection of 3 different numbers from numbers $1, 2, 3, \dots, 10 =^{10} C_{3}$ $= 120$ .

पिछला

अगला

गोपनीयता नीति

द्वारा संचालित Prutor@IITK

sathee@iitk.ac.in

SATHEE का मीडिया कवरेज

खेल स्टोर

ऐप स्टोर

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 3 Question 3

3. Consider three boxes, each containing 10 balls labelled 1,2,…,10. Suppose one ball is randomly drawn from each of the boxes. Denote by ni, the label of the ball drawn from the i th box, (i=1,2,3). Then, the number of ways in which the balls can be chosen such that n1<n2<n3 is

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Menu