Niumber of ways selecting 3 distinct numbers the first 100 natural numbers, n(Sample space) =100C3=
100!
97!3!
The numbers are divisible by both 2 and 3 means numbers divisible by 6. Number of numbers divisible by 6 in 1 to 100 are 100/6 = 16 (neglecting fraction) Number of ways of selecting 3 from 16,16C3=