Friday, April 6, 2012
JCCDQBHWHCB014 Combinatorics : Permutations & Multiplication Principle
Suggested Approach and Solution:-
Since the order is important, we use permutations (which are just multiplications) instead of combinations. No over-counting or division is involved.
The guys can be chosen and arranged in 10P3 = 10 x 9 x 8 = 720 ways.
The gals can be chosen and arranged in 6P3 = 6 x 5 x 4 = 120 ways.
Total number of ways = 720 x 120 = 86 400 ways.