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How many four-digit numbers that do not contain the digits 3 or 6 are there?
a) 2401
b) 3584
c) 4096
d) 5040
e) 7200
Read Solution (Total 13)
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- 7*8*8*8=3584(b)
first place 0 3 6 not allowed so available digits 10-3=7
same 4 remaining
- 11 years agoHelpfull: Yes(30) No(5)
- b) 3584
Frm 0 to 9 ,after removing 3 & 6 ,we get 8 numbers.
Now , 0 will nt be placed at 1000th place ,
So the ans is =8*8*8*7=3584 - 11 years agoHelpfull: Yes(8) No(4)
- ans is 3584
7*8*8*8= 3584
bcoz in first place we cant write 0,3,and 6
and all other palces we can't write 3 and 6
so 7*8*8*8= 3584 - 11 years agoHelpfull: Yes(7) No(0)
- u have to assume repition is allowed
now in 4 digit nu u can use from 1 to 9 except 6 and 3 so ways =7
in thousands place 8 ways since zero can be used
in hundreds 8 ways
in unit 8 ways
7*8*8*8=3584 - 11 years agoHelpfull: Yes(3) No(0)
- 7*8*8*8=3584
- 11 years agoHelpfull: Yes(2) No(1)
- 7*8*8*8=3594
- 11 years agoHelpfull: Yes(2) No(1)
- 7*8*8*8=3584
- 11 years agoHelpfull: Yes(2) No(1)
- 7*8*8*8=3584
- 11 years agoHelpfull: Yes(1) No(0)
- ans is =8*8*8*7=3584
- 11 years agoHelpfull: Yes(1) No(1)
- 3584
on thousandth place - possibility of 9,8,7,5,4,2,1
on hundredth place - 9,8,7,5,4,2,1,0
similarly on tenth place n units place - 9,8,7,5,4,2,1,0
so .... 7*8*8*8 = 3584 - 9 years agoHelpfull: Yes(1) No(0)
- ans is b
it is similar to making a 4 digit num without using 3 and 6 when repitition is allowed which is nothing but 7*8*8*8 - 11 years agoHelpfull: Yes(0) No(0)
- 488->1000
x ->7000
x=3416
7000-3416
answer is b) 3584 - 11 years agoHelpfull: Yes(0) No(0)
- 7*8*8*8=3584(b)
- 9 years agoHelpfull: Yes(0) No(0)
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