Answer:180
Step-by-step explanation:
Given
There are 5 industrial stocks, 4 transportation stocks ,3 utility stocks
and analyst has to take 3 industrial stocks , 2 transportation stocks and 2 utility stocks out of above
No of ways of choosing 3 industrial stock out of 5 is [tex]^5C_3=10[/tex]
No of ways of choosing 2 transportation stock out of 4 is [tex]^4C_2=6[/tex]
No of ways of choosing 2 utility stock out of 3 is [tex]^3C_2=3[/tex]
Thus total no of ways [tex]=^5C_3\times ^4C_2\times ^3C_2=10\times 6\times 3=180 [/tex]
thus 180 combinations are possible
