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breakfast

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by krbharat » Thu Apr 08, 2010 10:22 am
I'm eating breakfast. There are 3 types of cereal, 2 types of eggs, and 5 different juices. If I don't have to eat anything and I can eat as many types of food as I want (but not 2 of the same type), how many different breakfasts can I make?
1)48
2)72
3)30
4)10
5)96
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by outreach » Thu Apr 08, 2010 10:57 am
krbharat wrote:I'm eating breakfast. There are 3 types of cereal, 2 types of eggs, and 5 different juices. If I don't have to eat anything and I can eat as many types of food as I want (but not 2 of the same type), how many different breakfasts can I make?
1)48
2)72
3)30
4)10
5)96
is it 30. what is the OA
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by krbharat » Thu Apr 08, 2010 11:01 am
nope keep on posting...i will submit oa after some more posts
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by moliver » Thu Apr 08, 2010 11:14 am
72?
3x5x2
3x2
3x5
2x5
2
5
3
1
Last edited by moliver on Thu Apr 08, 2010 3:06 pm, edited 1 time in total.
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by analyst218 » Thu Apr 08, 2010 12:08 pm
krbharat wrote:I'm eating breakfast. There are 3 types of cereal, 2 types of eggs, and 5 different juices. If I don't have to eat anything and I can eat as many types of food as I want (but not 2 of the same type), how many different breakfasts can I make?
1)48
2)72
3)30
4)10
5)96
I think 72 too.
total 71 + 1 (which is the case of no breakfast)

OA please
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by sunchopper » Thu Apr 08, 2010 3:01 pm
moliver wrote:72?
3x5x2
3x2
3x5
2x5
2
5
2
1
Why did you do 2, 5, 2, 1 at the end instead of 2, 5, 3, 1... you are doing 2 cereals instead of 3? I don't understand why.
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by moliver » Thu Apr 08, 2010 3:06 pm
sunchopper wrote:
moliver wrote:72?
3x5x2
3x2
3x5
2x5
2
5
2
1
Why did you do 2, 5, 2, 1 at the end instead of 2, 5, 3, 1... you are doing 2 cereals instead of 3? I don't understand why.
Sunchopper you are right!
It is a typo, I will edit the my previous post
but if you do the sum it equal to 72
but I don't know if it is correct the answer
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by pops » Thu Apr 08, 2010 8:42 pm
krbharat wrote:I'm eating breakfast. There are 3 types of cereal, 2 types of eggs, and 5 different juices. If I don't have to eat anything and I can eat as many types of food as I want (but not 2 of the same type), how many different breakfasts can I make?
1)48
2)72
3)30
4)10
5)96
Since it is mentioned that 'I dont have to eat anything' hence option of not eating anything is also valid..
so number of ways a cereal can be selected=3+1 (either cereal A, B, C or none)
similarly number of ways egg can be selected=2+1
Juice = 5+1
hence, different breakfast combination = No. of possibilities for cereals * egg * juice = 4 * 3 * 6 = 72

now other variants to same problem:
if the question was that at least you have to eat something..
then solution would have been = 4 * 3 * 6 - 1 (case when u are not taking cereal AND egg AND Juice) = 71

other variant: if you have to include one of each type compulsorily:
so number of ways a cereal can be selected=3 (either cereal A, B or C)
similarly number of ways egg can be selected=2
Juice = 5
hence, different breakfast combination = No. of possibilities for cereals * egg * juice = 3*2*5= 30
and that is the reason that 30 is an option choice for this question (to confuse :))
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