SOLUTION: john has 3 pairs of pants, 4 shirts and 2 belts. how many combinations can he wear? can you tell me a formula for this, i can do it manually but would like a formula, thx mike

Question 368806: john has 3 pairs of pants, 4 shirts and 2 belts. how many combinations can he wear? can you tell me a formula for this, i can do it manually but would like a formula, thx mike
Found 2 solutions by fractalier, stanbon:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Well, the simple way to explain it is simply to multiply 3 by 4 by 2 and get 24 combinations...let me explain that logically to you...
For every one of four shirts, he can wear one of two belts...so that is eight different combinations.
For every pair of pants, he can wear any of the eight combos of shirt and belt. Since he has 3 pair of pants, 3 times 8 gives the same 24 combinations.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
john has 3 pairs of pants, 4 shirts and 2 belts. how many combinations can he wear? can you tell me a formula for this, i can do it manually but would like a formula,
-----
Counting Principle:
If step one of a process can be done in n1 ways
and step k can be done in nk ways,
the process can be done in n1*n2*n3*...*nk ways
-------------------------------------
Your problem
# of combinations is 3*4*2 = 24 ways
=======================================
Cheers,
Stan H.
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