How many 4-digit positive integers less that 4000 and not divisible by 5 can be formed by using digits 0, 1, 2, 3, 4, 5 and 67 Each digit can be used only once.
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Answer:
Step-by-step explanation:
We are having digits 2,3,4,5 and 6. Numbers greater than 4000 are to be formed using these digits without repetition.
The number can have 4 digits but greater than 4000 or can have 5 digits.
Total number of 4 digits number greater than 4000 are,
⇒3×
4
P
3
=3×24=72
Total number of 5 digits numbers =
5
P
5
=5!=120
So,
Total number of required numbers =120+72=192
Hence, this is the required result.
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