What is the probability that the number formed is great than 57,26,000?

Question

A seven digit number is formed by using the digits 3, 3, 4, 5, 5, 8 & 9. What is the probability that the number formed is great than 57,26,000?

Answer 1

3, 3, 4, 5, 5, 8 & 9

                         1st digit , 2nd digit
                             8 ,                            ==== 6! / ( 2! * 2!) ===180
                             9,                             ==== 6! / ( 2! * 2!)===180
                             5 ,         8                ===== 5!/2!===60
                             5 ,         9                ===== 5!/2!===60

                                 total favourable number of events ===480

              total sample space === 7! / ( 2! * 2!) ==== 1260

required probability ==== 480 / 1260 === .38