How many 4 digit numbers using 1,2,3,4,5,6 are divisible by 3 ( with repetition)?
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Answered by
8
Hii friend,
Smallest 4 Digit Number is 1000 And the greatest 4 Digit Number is 9999.
The number between 1000 and 9999 which is divisible by 3 are = 1002 , 1005 , 1008,....9999
Here,
First term (A) = 1002
Common difference (D) = 1005 - 1002 = 3
Last term (Tn) = 9999
a+(n-1) × d = 9999
1002+(n-1) × 3 = 9999
1002 + 3n - 3 = 9999
3n = 9999-999
3n = 9000
n = 9000/3
n = 3000
The number of term which is divisible by 3 between 1000 and 9999 is 3000.
HOPE IT HELPS!!!!!!
Smallest 4 Digit Number is 1000 And the greatest 4 Digit Number is 9999.
The number between 1000 and 9999 which is divisible by 3 are = 1002 , 1005 , 1008,....9999
Here,
First term (A) = 1002
Common difference (D) = 1005 - 1002 = 3
Last term (Tn) = 9999
a+(n-1) × d = 9999
1002+(n-1) × 3 = 9999
1002 + 3n - 3 = 9999
3n = 9999-999
3n = 9000
n = 9000/3
n = 3000
The number of term which is divisible by 3 between 1000 and 9999 is 3000.
HOPE IT HELPS!!!!!!
Answered by
2
Num = 9000 .
hope it helps you
hope it helps you
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