TASK DEFINITION: In this task, you need to provide the correct option for a given problem on probability from the provided options.
PROBLEM: Problem: a meeting has to be conducted with 5 managers . find the number of ways in which the managers may be selected from among 7 managers , if there are 2 managers who refuse to attend the meeting together .
Options: a ) 6 , b ) 8 , c ) 10 , d ) 11 , e ) 15

SOLUTION: d

PROBLEM: Problem: how many positive integers less than 500 can be formed using the numbers 1 , 2,3 , and 5 for digits , each digit being used only once .
Options: a ) 34 , b ) 677 , c ) 197 , d ) 177 , e ) 191

SOLUTION: a

PROBLEM: Problem: three unbiased coins are tossed . what is the probability of getting 1 heads and 1 tail ?
Options: a ) 3 / 4 , b ) 1 / 4 , c ) 3 / 8 , d ) 7 / 8 , e ) 1 / 8

SOLUTION:
b