At a certain restaurant, each sandwich served has three components-br

Question

At a certain restaurant, each sandwich served has three components-bread, topping, and filling. A customer orders a sandwich by choosing exactly one type of each component from a list of options. There are 8 bread options, and there are fewer topping options than filling options. In all, there are exactly 1,536 possible sandwich orders.

In the table, select the number of toppings and the number of fillings that are jointly consistent with the given information. Make only two selections, one in each column.

In the table, select the number of toppings and the number of fillings that are jointly consistent with the given information. Make only two selections, one in each column.

yazadsarkari · Answer

Bunuel  answer this please

Aarkoza · Answer

The answer is 8 and 24 firstly we have to divide 1536 with 8 then you try the combination by lcm and you will find the answer

chetan2u · Answer

Each sandwich has three components:-
8 bread options
x topping
y filling
Also, x<y

Total possible combinations =  8*x*y = 1536 \ \ or \ \ x*y = \frac{1536}{8} = 192

Now check from options, two such cases which when multiplied give 192 as the answer. => 8*24 = 192, so  x=8 and y=24 as x<y

ShilpiAgnihotrii · Answer

8*toppings*fillings = 1536 
toppings*fillings = 192

Only 8 and 24 fits (toppings < fillings is given)

Anubhav20061992 · Answer

Total number of possibilities = Bread x Filling x Toppings=1536. Since Nr of Bread is given as 8
Filling x Topping = 1536/8 = 192. And F>T is mentioned in Question. Now lets factorize 192 to arrive at various possible combinations to get 192. 
2x2x2x2x2x2x3=192. Now check the options given accordingly. If T=8 i.e 2^3 then F should be 24 i.e 2^3x3.

NEYR0N · Answer

Is the calculator accessible for DS questions ?

Bunuel · Answer

Yes, you'll have a calculator available for DI section

Number of toppings	Number of fillings
		6
		8
		12
		24
		36
		48

At a certain restaurant, each sandwich served has three components-br

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At a certain restaurant, each sandwich served has three components-br