Josh wrote a whole number using the digits 8,4,7,2,9 and 0. Josh's number has a seven in the thousands and a 2 in the tens place. Josh's number is less then 500,000. Is Josh's number greater than 480,000?

4 out of the 6 possible numbers Josh wrote were greater than 480,000, while 2 out of the 6 possible numbers are less than 480,000

Step-by-step explanation:

The given parameters are;

The number with which Josh wrote the whole number = 8, 4, 7, 2, 9, and 0

The number in the thousands of the whole number that Josh wrote = 7

The number in the tens of the whole number that Josh wrote = 2

The value of the whole number that Josh wrote < 500,000

Therefore, we have;

The possible numbers in the hundreds of thousands place = 4, and 2

Which gives the following possible combinations;

The number of ways of selecting the first number = 1 way, the number is 4 to make the value less than 500,000

The number of ways of selecting the second number = 3 ways

The number of ways of selecting the third number = 1 way, the number is 7

The number of ways of selecting the fourth number = 2 ways as there are only two numbers left after filling the second place digit

The number of ways of selecting the fifth number = 1 way, the number is 2

The number of ways of selecting the sixth  number = 1 ways

The total number of possible number combinations = 3×2×1 = 6 possible numbers, which are;

487920 or 497820 or 407829 or 407928 or 487029 or 497028

Therefore, 2 out of the numbers are less than 480,000, the remaining 4 possible numbers are larger than 480,000.

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step-by-step explanation:

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