Question

ii) There are no distinct whole numbers a, b and
c such that a = (b + c)= (a b) = C.
​

Answer 1

Answer:

A natural number is divisible by 2 or 3 if it is divisible by 6.

So, numbers divisible by 6 are 6,12,18,....,96

So there are total 16 numbers out of which 3 distinct number can be chosen in 16×15×14=n(A)

Total no of ways =100×99×98=n(S)

Required probability=

n(S)

n(A)

=

1155

4

.

Hence option B is the answer.