Latest TCS Aptitude Question SOLUTION: 105. A girl has to make pizza with different toppings . There are 8 different toppings, in how many ways can she make pizzas with 2 different toppings.

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105. A girl has to make pizza with different toppings . There are 8 different toppings, in how many ways can she make pizzas with 2 different toppings.

Asked In TCS M.JOSHNA (11 years ago)

Unsolved Read Solution (12)

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Read Solution (12) :

dipali  (11 years ago)

C(8, 2) = 8! / 2!*6! = 8*7 / 2*1 = 56/2 = 28

Is this solution Helpfull? Yes (16) | No (1)  

BH@NU  (11 years ago)

The number of ways of choosing r distinct objects from n distinct objects is given by the formula
C(n, r) = n!/r!*(n-r)!
where n! = n(n-1)(n-2).......3*2*1

If order was important, the number of arrangements is
P(n,r) n!/(n-r)!

Now suppose you wanted to display one topping in the middle and the other around the edge, you would be considering arrangements and the answer would be
P(8, 2) = 8!/6!
= 8*7
= 56

However, suppose that you wish to sprinkle toppings randomly over the pizza base. Since it does not matter what the arrangements are, the number of ways is
C(8, 2) = 8! / 2!*6!
= 8*7 / 2*1
= 56/2
= 28

Is this solution Helpfull? Yes (11) | No   

divyang  (11 years ago)

8*7=56 ways....

Is this solution Helpfull? Yes (3) | No (7)  

k.m  (11 years ago)

28
because 1 topping have 7 options.
2 topping have 6 poptions.
3 topping have 5 options...............and so on so sum of 7+6+5+4+3+2+1=28

Is this solution Helpfull? Yes (3) | No   

Adish gupta  (10 years ago)

28
8c2=8!/(2!*(8-2)!)

Is this solution Helpfull? Yes (1) | No   

himanshu  (10 years ago)

8 items n we select 2 so,
8c2=28

Is this solution Helpfull? Yes (1) | No   

nagatejesh  (11 years ago)

7! ie 5040

Is this solution Helpfull? Yes | No (9)  

anurag keshari  (11 years ago)

100%
because she already make by 8 different ways...

Is this solution Helpfull? Yes | No (3)  

Ch.Naga manjari  (11 years ago)

there are 8 toppings have to make with 2 different toppings so the number of ways are 8c2=16

Is this solution Helpfull? Yes | No (4)  

neelimanasturtiums  (11 years ago)

C(n, r) = n!/r!*(n-r)!
c(8,2)=8!/2!*(8-2)!=28

Is this solution Helpfull? Yes | No   

anurag keshari  (11 years ago)

56, first she can makes by 8 ways &
second she can makes by 7 ways
so 8*7=56

Is this solution Helpfull? Yes | No (5)  

nidhi  (11 years ago)

28... c(8,2)

Is this solution Helpfull? Yes | No   

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