Answer :

Given that we need to select 3 persons out of 2 men and 3 women,


Let us assume the no. of ways of selecting be N,


N = selecting 3 persons out of total 5 persons


N = 5C3


We know that


And also n! = (n)(n – 1)(n – 2)…………2.1





N = 10 ways


The no. of ways of selecting 3 persons out of 2 men and 3 women is 10.


(ii) It is told that 1 man and 2 women should be selected out of 2 men and 3 women.


Let us assume the no. of ways of selection be N1,


N1 = (selecting one man out of 2 men) × (selecting 2 women out of 3 women)


N1 = (2C1) × (3C2)


We know that


And also n! = (n)(n – 1)(n – 2)…………2.1





N1 = 6 ways


The no. of ways of selecting 1 man and 2 women is 6.


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