The number of ( 4 ) digit numbers without repetition that can be formed using the digits ( 1,2,3,4 ), ( 5,6,7 ) in which each number has two odd digits and two even digits is

Step-by-step solution

(C) Given digits are ( 1,2,3,4,5,6,7 ). Two even digits can be selected in ( 3 2 ) Two odd digits can be selected in ( 4 2 ) ways. These selected ( 4 ) digits can be arranged in ( 4 ! ) ways. ( ) Total number of ways ( = 4 2 3 2 ₂ ! ) ( =6 3 24 ) ( =18 24 ) ( =432 )