gmatophobia
PS Question 1 - Feb 08 Each of 5 countries sends 3 people to a conference. How many 3-person committees could be chosen that do not include more than 1 representative from a single country? A. 156 B. 270 C. 455 D. 910 E. 2730 Source: GMAT Ninja | Difficulty: Medium
Way to do this:
15 total representatives, from 5 countries.
We want a team of 3 people, without any country repeating
Choose the first one: 15C1
Choose the second one: 12C1 (take out the chosen one, and the other 2 people from the chosen ones country)
Choose the last: 9C1 (same reduction as in 2nd)
Now, because the teams are not unique (ABC and CBA are the same), we have to remove 3! arrangements.
So total ways: 15*12*9/3!=270
B.
AbhinavKumar, hope this helps you!
gmatophobia
DS Question 1 - Feb 08 In a survey, heights of boys and girls in School M were measured. The average (arithmetic mean) height of girls was 140 centimeters. What percent of the students surveyed were girls? 1. The average height of boys surveyed was 160 centimeters. 2. As per the survey, the average height of boys and girls combined was thrice as close to the average height of girls as it was to the average height of boys. Source: Others(Jamboree) | Difficulty: Hard
1) clearly insuf.
2) xB+140G/(B+G)=z where x is the average male height
xB+140G=z(B+G)
The distance of Z is thrice as close to 140 as it is to X. So, (z-140)=1/3y and (x-z)=y