Permutation-Combination
Aptitude

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Q.

How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

 A.

$5^{10}$

 B.

${10}^5$

 C.

${^{10}P_5}$

 D.

${^{10}C_5}$

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Solution:
Option(A) is correct

Each of the 10 letters can be posted in any of the 5 boxes.

So, the first letter has 5 options, so does the second letter and so on and so forth for all of the 10 letters.

i.e.$ 5×5×5×….×5$ (up-to 10 times)

$= 5^{10}$


(1) Comment(s)


Snehal
 ()

why is it not $10^5$ !!!!!!.......Can someone explain?