Cheenta
Academy for Gifted Students
How Cheenta works to ensure student success?
Explore the Back-Story

PRMO 2016 Problem No 4 | Combination Problem

Try this beautiful Combination Problem based on Non-negative integer solutions from PRMO 2016.

Combination Problem - PRMO 2016 Problem 4


There are three kinds of fruits in the market. How many ways are there to purchase 25 fruits from among them if each kind has at least 25 of its fruit available?

Key Concepts


Permutation and combination

Non negative integer solution to an equation

Maximum possible value of variable

Suggested Book | Source | Answer


Excursion in Mathematics

PRMO 2016

351

Try with Hints


The given problem can be expressed in terms of the following equation

$x_1 + x_2 + x_3 = 25$

where $ x_!, x_2, x_3$ are the number of different fruits brought

The solution of the problem is equivalent to finding the non-negative integer solution to this given equation

Try to relate it to the following idea:

There are 25 balls and 2 sticks arranged in a straight line. We want to find the number of different arrangements possible. To the the different possible distinct arrangement we may apply permutation with repetition

Subscribe to Cheenta at Youtube


Try this beautiful Combination Problem based on Non-negative integer solutions from PRMO 2016.

Combination Problem - PRMO 2016 Problem 4


There are three kinds of fruits in the market. How many ways are there to purchase 25 fruits from among them if each kind has at least 25 of its fruit available?

Key Concepts


Permutation and combination

Non negative integer solution to an equation

Maximum possible value of variable

Suggested Book | Source | Answer


Excursion in Mathematics

PRMO 2016

351

Try with Hints


The given problem can be expressed in terms of the following equation

$x_1 + x_2 + x_3 = 25$

where $ x_!, x_2, x_3$ are the number of different fruits brought

The solution of the problem is equivalent to finding the non-negative integer solution to this given equation

Try to relate it to the following idea:

There are 25 balls and 2 sticks arranged in a straight line. We want to find the number of different arrangements possible. To the the different possible distinct arrangement we may apply permutation with repetition

Subscribe to Cheenta at Youtube


Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Knowledge Partner

Cheenta is a knowledge partner of Aditya Birla Education Academy
Cheenta

Cheenta Academy

Aditya Birla Education Academy

Aditya Birla Education Academy

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.
JOIN TRIAL
support@cheenta.com
Menu
Trial
Whatsapp
Math Olympiad Program
magic-wandrockethighlight