Hi Tommy,
Car X can come with any of these 5 additional features: sunroof, stereo, tinted windows, leather seats and cruise control.
Number of different combinations possible ?
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- robinphilip01
- Students
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- n00bpron00bpron00b
- Students
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Re: counting problem
Five additional features - Sunroof, Stereo, Tinted windows, leather seats & cruise control
Selection criteria - Either you have it or don't (yes or no) - 2 possibilities for each feature
a) Does the order matter ? - No but
b) Output of each stage different ? - Yes (all features are independent events, so FCP and not combination)
Using FCP,
2 x 2 x 2 x 2 x 2 = 32
Selection criteria - Either you have it or don't (yes or no) - 2 possibilities for each feature
a) Does the order matter ? - No but
b) Output of each stage different ? - Yes (all features are independent events, so FCP and not combination)
Using FCP,
2 x 2 x 2 x 2 x 2 = 32
- tommywallach
- Manhattan Prep Staff
- Posts: 1917
- Joined: Thu Mar 31, 2011 11:18 am
Re: counting problem
Noob always beats me to the punch! : )
He's absolutely right though. In this case:
1) How many slots? Five.
_ _ _ _ _
2) How many choices for each slot? Two each:
2 * 2 * 2 * 2 * 2
3) Does order matter? No. (Because these options just come equipped; there's no question of which ones come when.)
When order matters, all you have to do is multiply across, so 2^5 = 32.
Perfect!
-t
He's absolutely right though. In this case:
1) How many slots? Five.
_ _ _ _ _
2) How many choices for each slot? Two each:
2 * 2 * 2 * 2 * 2
3) Does order matter? No. (Because these options just come equipped; there's no question of which ones come when.)
When order matters, all you have to do is multiply across, so 2^5 = 32.
Perfect!
-t
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