Using the digits 6,7,8,9 &0, how many four digit numbers divisible by 10 can be formed, if no repetition of
digits is allowed?
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Answer:
We can make 24 four-digit numbers made of 6, 7, 8, 9, 0 which are divisible by 10.
Step-by-step explanation:
Now we know that,
Should a number be divisible by 10 it should end with 0's.
Hence,
0 has a fixed place at the last.
Now,
The digits are 6, 7, 8, and 9
We must for 4 digit number.
When 0 is fixed, we have 4 more numbers left, so 1st place can be fixed by any 4 numbers, next by any 3 number and the 3rd place be filled by any 2 numbers.
So,
Possible numbers are 4 × 3 × 2 = 24
Hence,
We can make 24 four-digit numbers made of 6, 7, 8, 9, 0 which are divisible by 10.
Hope it helped and believing you understood it........All the best
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