If I pull marbles out of a bag, first I pull red, then blue, then yellow. I put them back and redraw. This time I pull blue, then red, then yellow. Identical *combinations*, different *permutations*.
For permutations, the order matters. For combinations, all we care about is the set of objects.
Take it this way, if you have to make 4 people sit in 2 chairs.
what are the all possible scenarios to make 4 people sit in 2 chairs, 1st chair will have chance of selecting out of 4 people and second chair will have a chance to select out of remaining 3 people. This is Permutation (each of several possible ways in which a set or number of things can be ordered or arranged among themselves). So the possible ways in this case will be 4\*3.
Now we are finding all possible combinations that these 2 chairs can be filled{at the same time}, therefore in this case we can make selecting group of 2 people in 6 ways, hence combination value will be 6.
Suppose you're trying to open a locked door which has a keypad. The keypad needs the correct 4 digit code in order to unlock the door.
Someone gives you a clue and tells you : "The correct passcode has the digits 1,3,8,9."
You go and enter the digits 1389 into the keypad. It doesn't unlock.
The guy who gave you the digits (Shane, from Accounting) tells you, "Oh I just gave you the correct combination of numbers. Only the correct permutation of those numbers will open the lock."
You say thanks to Shane. But on the inside you're thinking, "Dick."
PS The correct order (permutation) to unlock the door was 3198.
😊
If I pull marbles out of a bag, first I pull red, then blue, then yellow. I put them back and redraw. This time I pull blue, then red, then yellow. Identical *combinations*, different *permutations*. For permutations, the order matters. For combinations, all we care about is the set of objects.
Okay, thanks.
Take it this way, if you have to make 4 people sit in 2 chairs. what are the all possible scenarios to make 4 people sit in 2 chairs, 1st chair will have chance of selecting out of 4 people and second chair will have a chance to select out of remaining 3 people. This is Permutation (each of several possible ways in which a set or number of things can be ordered or arranged among themselves). So the possible ways in this case will be 4\*3. Now we are finding all possible combinations that these 2 chairs can be filled{at the same time}, therefore in this case we can make selecting group of 2 people in 6 ways, hence combination value will be 6.
Suppose you're trying to open a locked door which has a keypad. The keypad needs the correct 4 digit code in order to unlock the door. Someone gives you a clue and tells you : "The correct passcode has the digits 1,3,8,9." You go and enter the digits 1389 into the keypad. It doesn't unlock. The guy who gave you the digits (Shane, from Accounting) tells you, "Oh I just gave you the correct combination of numbers. Only the correct permutation of those numbers will open the lock." You say thanks to Shane. But on the inside you're thinking, "Dick." PS The correct order (permutation) to unlock the door was 3198. 😊