Compute the permutation.
1 answer:
So you have 8 digits (number available) to form 3 digit numbers (number selected).
Using the formula
where a is the number of available digits, P is the permutation function and c is the number of digits to be selected.
The number of three digit numbers that can be formed =
= 336
<span> O R
</span>By using the formula
where a is the number of available digits and c is the number of digits to be selected.<span>
</span>⇒
<span>
</span>⇒
<span>
</span>⇒ Permutation = 336<span>
</span>
Using the formula
The number of three digit numbers that can be formed =
= 336
<span> O R
</span>By using the formula
</span>⇒
<span>
</span>⇒
<span>
</span>⇒ Permutation = 336<span>
</span>
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x = side length of the base.
Volume of the box is
So
Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.
Then
So the box is 4.86 in. wide and 4.87 in. high.