combinations!
How many 4-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?
can you help?? @Nnesha
Other than Trial and Error, I can't think of anyway @skylark06. Sorry
it's fine @Ahsome
yes @skylark06 what are the numbers?
like options?? @Haseeb96
yes option also but what are those positive integers numbers . because as u know the positive number are infinite
yeah actually it's combinations problem... no numbers are given. they are asking like what are possibilities. Like how many possibilities is there such that above condition is satisfied.
well options are A. 1236 B. 3024 C. 4096 D. 4608 E. 6561 @Haseeb96 @ganeshie8
how many four digit numbers are there in total ?
there is mistake in the question or either u dont concentrate on the question i am asking to u what are the positive numbers there given in the question ...
9000 i guess @ganeshie8
@Haseeb96 we need to find the total number of positive integers that have no common adjacent digits
yes so total four digit numbers = 9x10x10x10 = 9000
yep true )
lets subtract the numbers that have common adjacent digits from this
okay would u tell me how can i do it ? please explain @ganeshie8
how many ways the common adjacent digits can occur in a four digit number ?
|dw:1409987277013:dw|
|dw:1409987303024:dw|
hmmm yeah like 2 common digits adjacent to each other
wait a sec, this looks like donkey work there must be a simpler way... lets think a bit
LOL donkey
lol simple way will be a lot better.. can't we count in hand the possibilities for each digit??
yeah im thinking the same
like, number of possibilities for each digit place and multiply them together ?
yep!! right )
number of ways of choosing first digit = 9 : |dw:1409987870721:dw| because you cannot choose 0
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