1.

Using all or some of the digits 2, 3, 4 and 5, Edward writes numbers greater than 500 without repeating digits. For example, he might write 543.How many numbers does Edward write?

Answer»

GIVEN: the digits 2, 3, 4 and 5

To find: how MANY numbers does Edward write?

Solution:

To form numbers greater than 500, in each number, we must take the digit 5 in an appropriate place because 2, 3, 4 < 5.

  • The possible OUTCOMES are:
  • (2, 3, 5) = 532, 523
  • (2, 4, 5) = 542, 524
  • (3, 4, 5) = 543, 534
  • (2, 3, 4, 5) = 2345, 2435, 2354, 2453, 3245, 3425, 3254, 3452, 4325, 4235, 4352, 4253, 5234, 5234, 5243, 5324, 5342, 5432 and 5423.

Thus TOTAL number of requires outcomes is

= 2 + 2 + 2 + 20 = 26

Answer: Edward WRITES 26 numbers.



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