Question

A two digits is formed with digits 3,6,11 without repetition what is the probability that number is perfect square.​

Answer 1

Answer:

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Step-by-step explanation:

The two digits formed by the given numbers without repetition are 12,13,14,15,21,23,24,25,31,32,34,35,41,42,43,45,51,52,53,54

Out of this, the numbers divisible by 4 are 12,24,32,52.

Now the last two digit 12 can have first three digit as 34512,35412,43512,45312,53412,54312.

Similarly for last two digit 24 can have the first three digits as 13524,15324,31524,35124,51324,53124.

Similary for 32 and 52 we have six more cases each which makes total possible numbers as 6+6+6+6= 24.

Now the totals numbera that can be formed without repetition of the numbers 1,2,3,4 and 5 are

5*4*3*2*1 = 120

So,the probability of a number divisible by 4 is 24/120 = 1/5