Engineering
Mathematics
Basic Definitions Related to Probability
Question
Out of 2 men and 3 women a team of two persons is to be formed such that there is exactly one man and one woman. Write the sample space of this experiment, then the total no. of combinations of team possible are
Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.
Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA
Solution
Given,
A team contains 2men and 3 women.
But 2 persons have to be selected such that there is exactly 1 men and 1 women.
The no.of combinations = 2C1 × 3C1 = 6 (i.e., selecting 1 men out of 2 men = 2C1 ,selecting 1woment out of 3 women = 3C1
Sample space = { M1W1, M1W2, M1W3, M2W1, M2W2, M2W3 }