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Mathematics 15 Online
OpenStudy (anonymous):

how many odd numbers less than 400,000 are there that involve all of the digits 1, 1, 2, 3, 5 and 6

OpenStudy (anonymous):

2n-1<400 000 2n<400 001 n<200000.5 all odd less than 400000 are 200000

OpenStudy (anonymous):

the last one is 399999

OpenStudy (anonymous):

the number has to be 6 digits to have then all

OpenStudy (anonymous):

hence the numbers are between 300001 and 399999

OpenStudy (anonymous):

3112346 not odd we cant end with 2,4,6 so possibilities are 4 3___426 3___462 3___264 3___624

OpenStudy (anonymous):

3___246 3___642 this makes total 6

OpenStudy (anonymous):

6 ways of arranging 3 numbers \[6 \times 3!=36\]

OpenStudy (anonymous):

i give up they are tricking me now @Hero @phi

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