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How many four digit numbers can be formed using the digits 1, 2,3,4 ,5 ( but with repetition) that are divisible
by 4?
Read Solution (Total 7)
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- a no. is divisible by 4 , if no. formed by last 2 digits is divisible by 4.
there are 5 combinations- 12,24,32,44,52
1st 2 digits can be filled in 5*5 ways
total 4 digits no. = 5*5*5=125
- 9 years agoHelpfull: Yes(7) No(0)
- For divisibility by 4 last two digits must be divisible by 4 here five such combinations are there 32,44,52,12,24 and as thus first two digits for every combination can be selected in 5*5 ways so it total 5*5+5*5+5*5+5*5+5*5=125
answer is 125 - 9 years agoHelpfull: Yes(1) No(0)
- last two digit will be divisible by 4
so last two digit divisible by 4=12,32,52,44,24
and else may be any digit
so through permutation
total no. of digit=5*5*5*(no. of last two digit divisible by 4)
5*5*5*5
625
total no.=625 - 9 years agoHelpfull: Yes(1) No(1)
- last two nos. must be divisible by 4, the nos. are 32,24,12,52,44=5 numbers
any 5 no.for hundred place(1,2,3,4,5)=5 numbers
any 5 nos. for thousand place(1,2,3,4,5)=5 numbers
total 4 digit no is 5*5*5=125
- 9 years agoHelpfull: Yes(1) No(0)
- As there repetition is allowed so the
5_5_12
_24
_32
_52
_44
so 5*5*5=125 - 9 years agoHelpfull: Yes(0) No(0)
- 5*5*5*2=250
- 9 years agoHelpfull: Yes(0) No(0)
- if num is divisible by 4 , if no. formed by last 2 digits is divisible by 4.
there are 5 combinations- 12,24,32,44,52
1st 2 digits can be filled in 5*5 ways
total 4 digits no. = 5*5*5=125 - 9 years agoHelpfull: Yes(0) No(0)
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