If repetitions are not allowed, the number of four digit numbers divisible by $5$ and formed with the digits $0, 1, 2, 3, 4, 5, 6$ is

220

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240

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370

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588

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Solution

The correct option is A $220$
Number ending with either $0$ or $5$ is divisible by $5$
Case 1) unit place is $0$
Numbers $= 6 \times 5 \times 4 = 120$
Case 2) unit digit is $5$
Numbers $= 5 \times 5 \times 4 = 100$
$∴$ total number $= 120 + 100 = 220$

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If repetitions are not allowed, the number of four digit numbers divisible by 5 and formed with the digits 0,1,2,3,4,5,6 is

The correct option is A 220Number ending with either 0 or 5 is divisible by 5Case 1) unit place is 0Numbers=6×5×4=120Case 2) unit digit is 5Numbers =5×5×4=100∴ total number =120+100=220

If repetitions are not allowed, the number of four digit numbers divisible by $5$ and formed with the digits $0, 1, 2, 3, 4, 5, 6$ is

The correct option is A $220$
Number ending with either $0$ or $5$ is divisible by $5$
Case 1) unit place is $0$
Numbers $= 6 \times 5 \times 4 = 120$
Case 2) unit digit is $5$
Numbers $= 5 \times 5 \times 4 = 100$
$∴$ total number $= 120 + 100 = 220$