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08 Mar 2004, 12:43
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same rules.
1. time yourself
2. solve the problem on a sheet of paper
3. write down your solution here, and your time, if possible
solving under 2 mins would be great! go!
In how many ways can you select three integers x1, x2 & x3 from 1 to 12 such that x1<x2<x3?
A. 220
B. 276
C. 318
D. 341
E. 385
1. time yourself
2. solve the problem on a sheet of paper
3. write down your solution here, and your time, if possible
solving under 2 mins would be great! go!
In how many ways can you select three integers x1, x2 & x3 from 1 to 12 such that x1<x2<x3?
A. 220
B. 276
C. 318
D. 341
E. 385
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08 Mar 2004, 13:46
Kudos
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well it took more than 2 minutes.
I get 385
10^2+9^2+8^2....2^2+1^2 = 385
The way I did it is
if X1=1 then X2 can take 10(2-11) values and X3 (3-12)can take 10 values
if X2=2 then X2 can take 9(3-11) values and X3 (4-12)can take 9 values and so on
I get 385
10^2+9^2+8^2....2^2+1^2 = 385
The way I did it is
if X1=1 then X2 can take 10(2-11) values and X3 (3-12)can take 10 values
if X2=2 then X2 can take 9(3-11) values and X3 (4-12)can take 9 values and so on
