Difference between revisions of "2002 AMC 12B Problems/Problem 10"
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| − | + | ==Problem== | |
| + | How many different integers can be expressed as the sum of three distinct members of the set <math>\{1,4,7,10,13,16,19\}</math>? | ||
| + | <math>\mathrm{(A)}\ 13 | ||
| + | \qquad\mathrm{(B)}\ 16 | ||
| + | \qquad\mathrm{(C)}\ 24 | ||
| + | \qquad\mathrm{(D)}\ 30 | ||
| + | \qquad\mathrm{(E)}\ 35</math> | ||
| + | |||
| + | ==Solution== | ||
| + | We can make all multiples of three between 1+4+7=12 and 13+16+19=48, inclusive. There are <math>\frac{48}{3}-\frac{12}{3}+1=13\Rightarrow \boxed{\mathrm{(A)}</math> integers we can form. | ||
| + | |||
| + | ==See also== | ||
Revision as of 08:51, 5 February 2008
Problem
How many different integers can be expressed as the sum of three distinct members of the set 
?
Solution
We can make all multiples of three between 1+4+7=12 and 13+16+19=48, inclusive. There are $\frac{48}{3}-\frac{12}{3}+1=13\Rightarrow \boxed{\mathrm{(A)}$ (Error compiling LaTeX. Unknown error_msg) integers we can form.
