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In how many ways can 5 letters be mailed if there are 3 different mailboxes available if each letter can be mailed in any mailbox.
Correct answer is '243 ways'. Can you explain this answer?
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Verified Answer
In how many ways can 5 letters be mailed if there are 3 different mail...
Different number of ways = 35
= 243
= 243
Most Upvoted Answer
In how many ways can 5 letters be mailed if there are 3 different mail...
Solution:
Number of mailboxes available = 3
Number of letters to be mailed = 5
Each letter can be mailed in any mailbox.
To find the total number of ways to mail the letters, we can use the multiplication principle of counting.
The multiplication principle states that if a task can be divided into k independent sub-tasks, where the first sub-task can be performed in n1 ways, the second sub-task can be performed in n2 ways, and so on, then the entire task can be performed in n1 x n2 x ... x nk ways.
Using this principle, we can say that each letter can be mailed in 3 ways (since there are 3 mailboxes available). Therefore, the total number of ways to mail the 5 letters is:
3 x 3 x 3 x 3 x 3 = 3^5 = 243
Therefore, the correct answer is 243 ways.
Number of mailboxes available = 3
Number of letters to be mailed = 5
Each letter can be mailed in any mailbox.
To find the total number of ways to mail the letters, we can use the multiplication principle of counting.
The multiplication principle states that if a task can be divided into k independent sub-tasks, where the first sub-task can be performed in n1 ways, the second sub-task can be performed in n2 ways, and so on, then the entire task can be performed in n1 x n2 x ... x nk ways.
Using this principle, we can say that each letter can be mailed in 3 ways (since there are 3 mailboxes available). Therefore, the total number of ways to mail the 5 letters is:
3 x 3 x 3 x 3 x 3 = 3^5 = 243
Therefore, the correct answer is 243 ways.
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In how many ways can 5 letters be mailed if there are 3 different mail...
Sorry I can' t explain it
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In how many ways can 5 letters be mailed if there are 3 different mailboxes available if each letter can be mailed in any mailbox.Correct answer is '243 ways'. Can you explain this answer?
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In how many ways can 5 letters be mailed if there are 3 different mailboxes available if each letter can be mailed in any mailbox.Correct answer is '243 ways'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In how many ways can 5 letters be mailed if there are 3 different mailboxes available if each letter can be mailed in any mailbox.Correct answer is '243 ways'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 5 letters be mailed if there are 3 different mailboxes available if each letter can be mailed in any mailbox.Correct answer is '243 ways'. Can you explain this answer?.
In how many ways can 5 letters be mailed if there are 3 different mailboxes available if each letter can be mailed in any mailbox.Correct answer is '243 ways'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In how many ways can 5 letters be mailed if there are 3 different mailboxes available if each letter can be mailed in any mailbox.Correct answer is '243 ways'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 5 letters be mailed if there are 3 different mailboxes available if each letter can be mailed in any mailbox.Correct answer is '243 ways'. Can you explain this answer?.
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