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s344n2d4d5 [400]
4 years ago
7

Three lights all go on one changes every 5 sec one every 6 sec one every 8 sec when will they all go on together

Mathematics
1 answer:
inysia [295]4 years ago
3 0
In order to calculate, you need to find their LCM
LCM of 5,6 and 8 is equal to 120

So, That time will be 120 sec = 2 min.
In short, Your Final Answer would be 2 min.

Hope this helps!
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4^2 = 16
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3 years ago
n an orchid show, seven orchids are to be placed along one side of the greenhouse. of the orchids, we see that the number of lin
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35

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7 orchids can be lined as 7!. This means that for the first orchid of the line, you can select 7 options. When you place the first orchid, for the second option you can select among 6 since 1 orchid has already been placed. Similarly, for the 3rd orchid of  the line, you have left 5 options. The sequence goes in this fashion and for 7 orchids, you have 7*6*5*4*3*2*1 possibilities. However, there is a restriction here. 3 of the orchids are white and 4 are levender. This means that it does not make a difference if we line 3 white orchids in an arbitrary order since it will seem the same from the outside. As a result, the options for lining the 7 orchids diminish. The reduction should eliminate the number of different lining within the same colors. Similar to 7! explanation above, 3 white orchids can be lined as 3! and 4 levender orchids can be lined as 4!. To eliminate these options, we  divide all options by the restrictions. The result is:

\frac{7!}{4!*3!} = 35. [(7*6*5*4*3*2*1/(4*3*2*1*3*2*1)]

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