Bunuel
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In how many ways can 5 letters be posted in 10 post boxes, if each of[#permalink]08 Jan 2021, 02:19
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In how many ways can 5 letters be posted in 10 post boxes, if each of the post boxes can take more than 5 letters?
A. 50
B. 5!
C. 10!
D. 10^5
E. 5^10
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In how many ways can one post 5 letters in 10 different letter boxes?
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Official Answer and Stats are available only to registered users.Register/Login.
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anjanita
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Re: In how many ways can 5 letters be posted in 10 post boxes, if each of[#permalink]08 Jan 2021, 02:30
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I think the answer is D
Since each letter can be posted in any one of the 10 letter boxes. So, a letter can be posted in 10 ways. Since there are 5 letters and each letter can be posted in 10 ways. So, total number of ways in which all the five letters can be posted =10*10*10*10*10 = 10^5
unraveled
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Re: In how many ways can 5 letters be posted in 10 post boxes, if each of[#permalink]04 Mar 2021, 22:14
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Bunuel wrote:
In how many ways can 5 letters be posted in 10 post boxes, if each of the post boxes can take more than 5 letters?
A. 50
B. 5!
C. 10!
D. 10^5
E. 5^10
Show Spoiler
In how many ways can one post 5 letters in 10 different letter boxes?
As each box can take more than 5 letters, the 5 letters can be posted at once in each box or each of the letters can be posted separately in different boxes.
So, each letter has 10 ways to post because each box can take 5 letters at least.
Hence, ways to post 5 letters = \(10^5\)
Answer D.
Had it been the case that each post box can take less than 5 letters the answer would have changed accordingly.
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Re: In how many ways can 5 letters be posted in 10 post boxes, if each of[#permalink]30 Jan 2024, 16:45
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Re: In how many ways can 5 letters be posted in 10 post boxes, if each of[#permalink]
30 Jan 2024, 16:45
