Posted by **larry** on Thursday, August 28, 2008 at 8:04pm.

a pharmacist uses 5 separate weights: 1g, 2g,4g,8g and 16g. If the pharmacist can combine these weights to create a new weight, how many different weights are possible?

- math -
**Reiny**, Thursday, August 28, 2008 at 8:58pm
the 1 g weight can be used in 2 ways, either take it or don't take

the 2g weight can be used in 2 ways, either take it or don't take it

...

...

so there are 2x2x2x2x2 ways to use the weights or 32

but that includes the case where none of the weights are used and all of the weights are used.

So depending on the wording of the question I would subtract 1 for no weights at all,

so there would be 31 ways.

## Answer This Question

## Related Questions

- Math - An apothecary has a set of five weights for use in the pans of his ...
- Algebra - An inspector of weights and measures uses a special set of weights to ...
- physics - A weight lifter lifts a set of weights a vertical distance of 2.07 m. ...
- chemistry - A common laboratory system to study Boyle's law uses a gas trapped ...
- Math - The sum of the weights of a dog and cat is 27 pounds. The dog weights an ...
- math - you have five bales of hay. for some reason,instead of being weighed ...
- algebra - A shipping clerk wishes to determine the weights of each of the 4 ...
- Math - The Prevu Theater keeps a set of five counterweights to help stagehands ...
- statistics - The weights of certain machine components are normally distributed ...
- physics - a weightlifter lifts a set of weights a vertical distance of 2.36. if ...

More Related Questions