Latest Elitmus Aptitude Question SOLUTION: What is the probability of forming a triangle from a 4x4 Matrix? A. 127/140 B. 129/140 C. 131/140 D. 123/140

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(#M40038096) ELITMUS Category question Keep an EYE

What is the probability of forming a triangle from a 4x4 Matrix?
A.
127/140
B.
129/140
C.
131/140
D.
123/140

Asked In Elitmus Liti (9 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

vineet  (9 years ago)

129/140
Explanation:

total outcome=16c3
unfavorable outcome:
if we select
all three point from a row = 4c3*4!/3!=16;
all three point from a col = 4c3*4!/3!=16;
all thee point from on diognal=2*(3c3+4c3+3c3)=12;
so total unfavorable outcome=44;
so the required probabilty=1-44/560=129/140;

Is this solution Helpfull? Yes (22) | No (2)  

tirupathi reddy  (9 years ago)

Vineet, can u explain the 4c3*4!/3!

Is this solution Helpfull? Yes (2) | No   

raushan kumar  (9 years ago)

16c3 is sample space = 560
3*16 - 4 is is selecting straight line = 44 bcoz 4 line common .during selecting straight line
560-44/ 560 = 129/140

Is this solution Helpfull? Yes (2) | No   

raushan kumar  (9 years ago)

16c3 is sample space = 560
3*16 + 4 is is selecting straight line = 52
560-52/ 560 = 127/140

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

raushan kumar  (9 years ago)

16c3 is sample space = 560
3*16 - 4 is is selecting straight line = 44 bcoz 4 line common .during selecting straight line
560-44/ 560 = 127/140

Is this solution Helpfull? Yes | No (6)  

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