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  • Determine how many different ways 7 letters may be posted in 4 letter boxes.   Option: 1 <p dir="ltr" style="list-style-type:lower-a

Determine how many different ways 7 letters may be posted in 4 letter boxes. 

 

Option: 1

16384


Option: 2

15400


Option: 3

14385


Option: 4

13384


Answers (1)

best_answer

Given that,

There are 7 letters which have to be placed in 4 letter boxes.

The first letter can be dropped off at any of the four post boxes. 

As a result, it has four options.

Similarly, the second, third, fourth, fifty, sixth, and seventh letters can all be posted in any of the four post boxes.

Thus, the total number of ways the 7 letters are posted in 4 boxes is given by,

\begin{aligned} & 4^7=4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ & 4^7=16384 \end{aligned}

Therefore, the number of ways the arrangement of letters is 16384.

Posted by

Ritika Jonwal

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