Is this correct?

How many even 4-digits numbers greater than 5000 can be formed from the digits 2, 4, 7, 8, 9 if no digit can be used more than once? thousandshundredstensones>5000 Since the 4-digit number is greater than 5000, we can only use 7,8 and 9 at thousands place, which has 3 choices. For ones place, we have 3 choices which is 2, 4 and 8 since the 4-digit number need to be even. For tens place, we have 3 choices left out of the 5 numbers The hundreds place will only have 2 choices left out of 5 numbers thousands3hundreds2tens3ones3=54 there are 54 ways of even 4-digits numbers that are greater than 5000 can be formed