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Using the digits 1, 2, 3, 4, 5, 6,7, a n...

Using the digits 1, 2, 3, 4, 5, 6,7, a number of 4 different digits is formed. Find

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(i) Total number of 4 digit formed with digit 1, 2, 3, 4, 5, 6, 7
`= 7 xx 6 xx 5 xx 4 = 840`
(ii) When a number is divisible by 2. At its unit place only even numbers occurs.
Total numbers `= 4 xx 5 xx 6 xx 3 = 360`
(iii) Total numbers which are divisible by 25 = 40
(iv) A number is divisible 4, If its last two digit is divisible by 4.
`therefore` Total such numbers = 200
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