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The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball, is (1) 75 (2) 150 (3) 210 (4) 243
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The total no. of ways in which 5 balls of different colours can be dis...
Problem: The total number of ways in which 5 balls of different colors can be distributed among 3 persons so that each person gets at least one ball.
Solution:
To solve this problem, we can use the concept of distributing distinct objects into distinct groups.
Step 1: Distributing one ball to each person.
Since each person must get at least one ball, we start by distributing one ball to each of the three persons. After this step, we are left with 2 balls to distribute.
Step 2: Distributing the remaining 2 balls.
Since the remaining 2 balls can be of any color, we have three choices for each ball. Therefore, the number of ways to distribute the remaining 2 balls is 3 * 3 = 9.
Step 3: Calculating the total number of ways.
To calculate the total number of ways, we multiply the number of ways in Step 1 and Step 2.
Total number of ways = Number of ways in Step 1 * Number of ways in Step 2 = 1 * 9 = 9.
Conclusion: Therefore, the total number of ways in which 5 balls of different colors can be distributed among 3 persons so that each person gets at least one ball is 9.
Answer: (4) 9.
Solution:
To solve this problem, we can use the concept of distributing distinct objects into distinct groups.
Step 1: Distributing one ball to each person.
Since each person must get at least one ball, we start by distributing one ball to each of the three persons. After this step, we are left with 2 balls to distribute.
Step 2: Distributing the remaining 2 balls.
Since the remaining 2 balls can be of any color, we have three choices for each ball. Therefore, the number of ways to distribute the remaining 2 balls is 3 * 3 = 9.
Step 3: Calculating the total number of ways.
To calculate the total number of ways, we multiply the number of ways in Step 1 and Step 2.
Total number of ways = Number of ways in Step 1 * Number of ways in Step 2 = 1 * 9 = 9.
Conclusion: Therefore, the total number of ways in which 5 balls of different colors can be distributed among 3 persons so that each person gets at least one ball is 9.
Answer: (4) 9.
Community Answer
The total no. of ways in which 5 balls of different colours can be dis...
150 , do see my timeline I have answered this question
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The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball, is (1) 75 (2) 150 (3) 210 (4) 243
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The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball, is (1) 75 (2) 150 (3) 210 (4) 243 for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball, is (1) 75 (2) 150 (3) 210 (4) 243 covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball, is (1) 75 (2) 150 (3) 210 (4) 243.
The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball, is (1) 75 (2) 150 (3) 210 (4) 243 for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball, is (1) 75 (2) 150 (3) 210 (4) 243 covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball, is (1) 75 (2) 150 (3) 210 (4) 243.
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