How Cheenta works to ensure student success?

Explore the Back-StoryContent

[hide]

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

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?

Permutation and combination

Non negative integer solution to an equation

Maximum possible value of variable

Suggested Reading

Source of the Problem

Answer

Excursion in Mathematics

PRMO 2016

351

Hint 1

Hint 2

Hint 3

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

Content

[hide]

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

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?

Permutation and combination

Non negative integer solution to an equation

Maximum possible value of variable

Suggested Reading

Source of the Problem

Answer

Excursion in Mathematics

PRMO 2016

351

Hint 1

Hint 2

Hint 3

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

Cheenta is a knowledge partner of Aditya Birla Education Academy

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.

JOIN TRIALAcademic Programs

Free Resources

Why Cheenta?

Google