Recent content by stamenkovoca02

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    MHB Finding Even Natural Numbers w/ No Repetition: 0-5 & 6

    The number of even natural numbers less than 100000 that can be formed from the digits of the set (0,1,2,3,4,5,6) so that the digits in the number are not repeated is? Here I understand that the even number in the last place is an even number, that is, it has 4 possibilities, but won't the...
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    MHB How many nine-digit numbers meet these criteria?

    The number of nine-digit numbers divisible by 225 in which all digits are different and in which the digit of hundred is 7 is? I don't know how to set the number to be divisible by 225, so if anyone can help
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    MHB Is the Sum of n^2 Terms in an Arithmetic Sequence Limited to 1?

    How many different arithmetic sequences have the sum of the first n terms n^2? solution an= 2n-1.Does that mean there is only one arithmetic sequence?
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    MHB Divisibility of (1!+2!+3!+...+100!)^2 by 5

    1.The remainder when dividing (1!+2!+3!+...+100!)^2 by 5 is? 5 divides evenly into 5!, 6!, 7!, ..., 100!. It would also divide evenly into things like 2!*8! or 20!*83!, but not 4!*3! but whether then ^2 affects the rest? And what is answer?Thanks
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