math
posted by larry .
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?

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.
Respond to this Question
Similar Questions

math
you have five bales of hay. for some reason,instead of being weighed individually, they were weighed in all possible combinations of two:bales 1 and 2, bales 1 and 3,bales 1 and 4, bales 1 and 5, bales 2 and 3, bales 2 and 4, and so … 
chemistry
A common laboratory system to study Boyle's law uses a gas trapped in a syringe. The pressure in the system is changed by adding or removing identical weights on the plunger. The original gs volume is 50.0 ml when two weights are present. … 
statistics
The weights of certain machine components are normally distributed with a mean of 9.75g and a standard deviation of 0.08g. Find the weights that separate the top 5% and the bottom 5%. 
Math
The Prevu Theater keeps a set of five counterweights to help stagehands move heavy props. The weights can balance exactly any load that is a multiple of 10 kg, from 10 kg up to a total of the five weights. Give the masses of weights … 
Math
An apothecary has a set of five weights for use in the pans of his balance. By proper selection of weights, he is able to measure every multiple of 0.5 g, from 0.5 g up to a total of the five weights together. If the arrangement of … 
algebra
A shipping clerk wishes to determine the weights of each of the 4 boxes. Each box weighs a different integer amount less than 70 kg. Unfortunately, the only scales available measure weights in excess of 70 kg. The clerk therefore decides … 
physics
a weightlifter lifts a set of weights a vertical distance of 2.36. if a constant net force of 335 N is exerted on the weights how much net work is done on the weights? 
physics
A weight lifter lifts a set of weights a vertical distance of 2.07 m. If a constant net force of 335 N is exerted on the weights, how much net work is done on the weights? 
Algebra
An inspector of weights and measures uses a special set of weights to check the accuracy of scales. Various weights are placed on a scale to check the accuracy of any amount from 1 oz. to 15 oz. What is the fewest number of weights … 
Math
The sum of the weights of a dog and cat is 27 pounds. The dog weights an odd number of pounds. Each animal's weight is counting number. If he weights twice as much as she does, what are the weights of the dog and the cat?