Latest Elitmus Aptitude Question SOLUTION: In how many a sandwich of four layer can be formed using four color red,yellow,blue,white such that no two layer are of same color.

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(#M40039009) ELITMUS Numerical Ability question Permutation And Combination Keep an EYE

In how many a sandwich of four layer can be formed using four color red,yellow,blue,white such that no two layer are of same color.

Asked In Elitmus Mandeep Khatkar (9 years ago)

Unsolved Read Solution (23)

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Read Solution (23) :

RAKESH  (9 years ago)

as all the colors are different, so two layer will not be of same color

no. of ways = 4P4 = 4! = 24

Is this solution Helpfull? Yes (51) | No (26)  

sakshi gupta  (9 years ago)

Ans: 4*3*3*3=108

Is this solution Helpfull? Yes (49) | No (6)  

Ravindar Dev  (9 years ago)

1) for no two layer are of same color
ans) 4p4 or 4!

2)No two adjacent layer are of the same.
ans) 4*3*3*3
explanation :- for 1st layer we have 4 colors.
for 2nd layer we have 3 colors left as we cannot use the color used in 1st layer.
for 3rd layer we cannot use the color used in 2nd layer but we can use the color used in 1st layer so again we got 3 choices.
same goes for 4rth layer .

Is this solution Helpfull? Yes (43) | No   

Shernaz  (9 years ago)

I think it is 108 ways..4C1 * 3C1 * 3C1 * 3C1 when n two adjacent layers can have the same color.

Is this solution Helpfull? Yes (6) | No (1)  

vaibhav  (9 years ago)

no 2 layers are same:
4*3*2*1
no adjacent layer are same:
4*3*3*3

Is this solution Helpfull? Yes (6) | No   

Pranoy Bej  (9 years ago)

No of ways = 4!= 24
because we have to arrange 4 different things. so it will be 4P4 = 4!=24
@KOLLIKISHORE : We use COMBINATION in case of identical things and use PERMUTATION in case of different objects

Is this solution Helpfull? Yes (5) | No (2)  

Uma  (9 years ago)

108
4*3*3*3

Is this solution Helpfull? Yes (2) | No (3)  

Ashwinee Kumar  (9 years ago)

4*3*2*1
=24

Is this solution Helpfull? Yes (2) | No   

kollikishore  (9 years ago)

4c1+4c2+4c3+4c4=15 ways. am i correct?

Is this solution Helpfull? Yes (1) | No (15)  

karan  (9 years ago)

i think it may be 67

Is this solution Helpfull? Yes (1) | No (2)  

bhupendra karoda  (9 years ago)

4P4=!4
=24

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

prashant kumar  (9 years ago)

keep one layer red then rest 3 can be arranged in 3!=6
keep one layer yellow then rest 3 can be arranged in 3!=6
keep one layer blue then rest 3 can be arranged in 3!=6
keep one layer white then rest 3 can be arranged in 3!=6
so total ways=6+6+6+6 =24

Is this solution Helpfull? Yes (1) | No   

Dipanshu Singhal  (9 years ago)

assume 4 blocks and assume 1,2,3,4.
1st can be fill by 4 ways (1/2/3/4)(assume 1 is at 1st)
2nd can be by 3 ways (2/3/4 can be)(assume 2 is at 2nd)
3rd can be by 3 ways (1/3/4 can be)(assume 3 is at 3rd)
4th can be by 3 ways (1/2/4 can be)
So Total=4*3*3*3=108

Is this solution Helpfull? Yes (1) | No   

gourav bibhor  (9 years ago)

as their are 4 layer so this can be done by :4x3x2x1=24

Is this solution Helpfull? Yes (1) | No   

himanshu awasthi  (8 years ago)

If repitition is allowed...(as it is the ques of repition allowed)
there will be 4*4*4*4=256 ways
for 2 colors to be same there are chances
consecutive 2 places with same colour in 3 ways+consecutive 3 places with same colour in 2 ways+consecutive 4 places with same colour in 1 way=6 ways
now we have 4 colours so 4*6=24
no two layers having same colours is 256-24=232

Is this solution Helpfull? Yes (1) | No   

Mandeep Khatkar  (9 years ago)

Sorry...a little bit change in the statement....actually it was...
No two adjacent layer are of the same.

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niti  (9 years ago)

acc to me 109 ways... wats the answer?

Is this solution Helpfull? Yes | No (4)  

Mandeep Khatkar  (9 years ago)

i did not remember options but one was 48 nd other 108...i think so....but what will be answer if two adjacent layer can not be of same color....

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js kiranmayi  (9 years ago)

4*3*2*1=24 ways

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abhiav dixit  (9 years ago)

for 1st layer we have 4 choice and for 2nd layer 3 likewise
it will be 4*3*2*1 or else we can say 4!
so ans is ..24

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prateek  (9 years ago)

for the first place we have 4 choice and second three as so on
we get 24

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Varun Kumar Srivastava  (9 years ago)

- - - - , the dashes show the different four layers in which first can be filled with four(red, yellow, blue, white), similarly second can be filled with 3 layers and 2 for third layer and 1 for last layer i.e.
4*3*2*1 = 24

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AMIT KUMAR  (9 years ago)

4*3*3*3 bcz after putting 1st we hv 3 so ....3,3,3

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