Quant Question Of The Day: 156
Counting
A group of students were given the names of eight countries and their current presidents in two columns. Each student is expected to match the eight countries with their respective presidents. A student is awarded 3 marks for each correct match. What is the maximum possible number of students who give different sets of valid responses and end up getting 15 marks?
1. 56
2. 112
3. 56×3!
4. 56×3!/2!
Out of 8 select 5 correctly matched in 8C5 ways.
Each of the remaining three countries are incorrectly matched.
this can happen in 2 ways.
Dearrangement of 3 = 2
The total number of ways in which students can get 15 marks is 8C5 x 2= 112 ways.
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