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24:

1468

1486

1648

1684

1846

1864

4168

4186

4618

4681

4816

4861

6148

6184

6418

6481

6814

6841

8146

8164

8416

8461

8614

8641

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Q: How many 4-digit numbers can be formed by the digits 8 6 4 1?
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Numbers formed should be of at least 3 digits means they may be of 3 digits, 4 digits, 5 digits or 6 digits. There are 6 choices for digit in the units place. There are 5 and 4 choices for digits in ten and hundred’s place respectively. So, total number of ways by which 3 digits numbers can be formed = 6.5.4 = 120 Similarly, the total no.of ways by which 4 digits numbers can be formed = 6.5.4.3 = 360. the total no. of ways by which 5 digits numbers can be formed = 6.5.4.3.2 = 720. The total no.of ways by which 4 digits numbers can be formed = 6.5.4.3.2.1 = 720. So, total no.of ways by which the numbers of at least 3 digits can be formed = 120 + 360 + 720 + 720 = 1920.


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How many digits numbers each less than 500 can be formed from the digits 13467 if repetitions is allowed?

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