a wedding planner must select from 4 possible venues for an actual wedding, and 3 venues for the reception. how many arrangements are possible ?

Question

anonymous · Answer

12 assuming there has to be a reception, 16 if no reception is an option

anonymous · Answer

how do you come up with that ?

anonymous · Answer

i came up with 24

anonymous · Answer

ok so start by thinking of the possibilities:

wedding venue 1 and reception venue 1
wedding venue 1 and reception venue 2
wedding venue 1 and reception venue 3

that's 3 solutions for one given wedding venues
and repeat for the other 3 wedding venues that multiplies this result by 4: 3x4 = 12

we have covered all possibilities

anonymous · Answer

i did it by doing 4!/4-3!

anonymous · Answer

If there is a rule that justifies what you are doing there then great!  but its always good to be able to think it through logically if all else fails!