Find the number of ways in which one can post 5 letters in 7 letter boxes.

Question:

Find the number of ways in which one can post 5 letters in 7 letter boxes.

Solution:

Each of the 5 letters can be posted in any one of the 7 letter boxes.

$\therefore$ Required number of ways of posting the letters $=7 \times 7 \times 7 \times 7 \times 7=7^{5}$

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