A non negative number having all distinct digits is such that the product of all digits of the numbe

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29 Oct 2015 Probability

A non negative number having all distinct digits is such that the product of all digits of the number is 504. Probability that the number has sum of all its digits 25 will be

OPtion

1) 1/6
2) 2/3
3) 1/4
4) 1/72
5) 1/3
6) 1/36
7) 1/2
8) 1/12
9) 1/8
10)1/24

Solution

Product is 504
The number can have digits 1, 2, 3, 4, 6, 7, 8 & 9
Possibilities are (1,7,8,9); (2,4,7,9); (3,4,6,7)
Total numbers possible = 3(4!) = 72
Favourate numbers = 24
So probability = 24/72 = 1/3
Option 5)

Correct Option: 5 Best Solution (1)