Together the numbers a , b and c can be chosen in 4 ways.
Given:
when three positive integers $a, b$, and $c$ are multiplied together, their product is $100$ and a < b < c .
The positive divisors of 100 are :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100.
It is clear that :
10 ≤ c ≤ 50.
so we apply from c value 10.
if c = 10 , then ( a , b , c ) = ( 2 , 5 , 10 )
if c = 20 , then ( a , b , c ) = ( 1 , 5 , 10 )
if c = 25 , then ( a , b , c ) = ( 1 , 4 , 25 )
if c = 50 , then ( a , b , c ) = ( 1 , 2 , 50 )
we can observe ways = 4.
Therefore the number of ways is 4.
Learn more about the number here:
https://brainly.com/question/17429689
#SPJ4
