Aptitude Discussion

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. |
${^{10}C_5}$ |

**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)

$= 5^{10}$

**Snehal**

*()
*

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