The number of four digit numbers can be formed by using the digits 2, 3, 5, 6, 8 if at least one digit is repeated.

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The number of four digit numbers can be formed by using the digits 2, 3, 5, 6, 8 if at least one digit is repeated.

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505

Both A & C

$5^{4} -^{5} p_{4}$

$5^{4}$

answer is D.

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Detailed Solution

Given digits are $2, 4, 5, 6, 8$

If all repeated :-

We can fill each bon in 5 ways

Total number of ways $= 5^{4}$

No one repeated:

We can fill the box $5 \times 4 \times 3 \times 2 = 5!$ ways

At least one letter is repeated, we can arrange $5^{4} - 5!$ ways

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