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HOW MANY 4 DIGITS NUMBER DO NOT CONTAIN 3 OR 6
Read Solution (Total 8)
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- 7*8*8*8=3584
- 10 years agoHelpfull: Yes(15) No(0)
- suppose the "four digit" number is
"abcd"
now
"d " digit can be 0,1,2,4,5,7,8,9 =8ways
"c " digit can be 0,1,2,4,5,7,8,9 =8ways
"b " digit can be 0,1,2,4,5,7,8,9 =8ways
the turnig point is digit "a" can not have {0,3,6}
because if we use "0" then number becomes 3digit number
for example
"0124"
thats why
"a " digit can be 1,2,4,5,7,8,9 =7ways
so
answer is
7*8*8*8=3584
- 10 years agoHelpfull: Yes(9) No(0)
- 2*8*9*9*9=11664
- 10 years agoHelpfull: Yes(2) No(3)
- unit's place can filled in 6 ways except 0,3,6
and rest 7 ways except 3 or 6
so, 6*7^3 - 10 years agoHelpfull: Yes(1) No(3)
- its '3 OR 6' not '3 AND 6'
but most of you have given the answers taking '3 AND 6'....
am confused ...
it has to be -->
no of 4 digit numbers not containing 3 +(OR) no of 4 digit numbers not containing 6
which is =8*9*9+8*9*9=2*8*9*9
Ans --> 2*8*9*9 - 10 years agoHelpfull: Yes(1) No(0)
- this can be done in 3 cases-
1- when 3 is not present then no of ways=8*9*9*9 (since repetition is allowed)
2- when 6 is not present den no of ways=8*9*9*9 (since repetition is allowed)
3- when 3 and 6 both are not present den no of ways- 7*8*8*8
total no of ways=sum of all three= 15248 ans. - 10 years agoHelpfull: Yes(1) No(0)
- 7*8*8*8
= 3584 - 10 years agoHelpfull: Yes(0) No(1)
- ans is 3854
- 10 years agoHelpfull: Yes(0) No(1)
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