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06 Dec 2003, 16:27
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4.How many numbers between 10,000 and 40,000 which **do not** contain the digits 7 and 4 , can be divided by 15 ?
5.How many numbers between 10,000 and 100,000 **do not** have
reapeting digits and the the digits 3, 4 and 5 appear in ascending order(*but not necessarily adjacent*) ?
any NON - brute force ideas?
thanks
5.How many numbers between 10,000 and 100,000 **do not** have
reapeting digits and the the digits 3, 4 and 5 appear in ascending order(*but not necessarily adjacent*) ?
any NON - brute force ideas?
thanks
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07 Dec 2003, 06:28
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for Q1. Numbers without 7 AND 4 we can have are 3x8x8x8x8=12 288 , numbers divisible by 15 should end with 5 OR 0, and the sum of numbers is divisible by 3, 10005,10010, 10015,10020,10025,10030,10035 so every third number is divisible by 15 or we have 12 288/3=4096...IMO 
07 Dec 2003, 07:01
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for Q1. Numbers without 7 AND 4 we can have are 3x8x8x8x8=12 288 , numbers divisible by 15 should end with 5 OR 0, and the sum of numbers is divisible by 3, 10005,10010, 10015,10020,10025,10030,10035 so every third number is divisible by 15 or we have 12 288/3=4096...IMO
need more help with => 3x8x8x8x8=12 288
