SOLUTION: given 4 distinct objects, if 2 objects are taken at the time, the possible number combinations is equal 2. True or false? *note: I used the combination formula nCr and I got 2. So

Question 1002206: given 4 distinct objects, if 2 objects are taken at the time, the possible number combinations is equal 2. True or false?
*note: I used the combination formula nCr and I got 2. So "False." Just wanted to be sure if it was the right application I made. Thank you
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
nCr formula is n! / (r! * (n-r)!

4C2 formula becomes 4! / (2! * (4-2)! which becomes 4! / (2! * 2!) which becomes (4*3*2!) / (2!*2!) which becomes (4*3)/2! which becomes 6.

your answer should have been 6.

let the 4 distinct objects be a, b, c, d

the possible combinations, taken 2 at a time, are:

ab
ac
ad
bc
bd
cd

that's 6 possible combinations.

you used the correct formula, but you must have applied it wrong, or you explained it wrong.

4C2 = 4! / (2! * 2!) = (4*3*2*1) / (2*1*2*1)

get rid of the 1's because they don't add anything to it, and you get:

4C2 = (4*3*2) / (2*2) which becomes (4*3*2) / 4 which becomes 3*2 = 6

false is the correct answer because 6 is not equal to 2.

your last statement, however, doesn't make sense because you say:

*note: I used the combination formula nCr and I got 2. So "False." Just wanted to be sure if it was the right application I made. Thank you

if you got 2, then you should have said true.

perhaps you meant you didn't get 2?

you got the answer right but your explanation was confusing.

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