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Find the sum of all numbers that can be formed with the digits 2,3,4,5 taken all at a time.

Find the sum of all numbers that can be formed with the digits 2,3,4,5 taken all at a time.

Grade:11

1 Answers

bhanuveer danduboyina
95 Points
9 years ago

Sum = 3![(2+3+4+5) + (20+30+40+50) + (200+300+400+500) + (2000+3000+4000+5000)]

This is because any four-digit number abcd can be written as (1000a + 100b+ 10c + d)....................And as can be seen, each of 2,3,4 and 5 occur exactly 3! times for a particular place value.............

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