AP EAMCET · Maths · Permutation Combination
The number of four digit numbers that can be formed using the digits \(1,2,3,4,5,6,7,8,9\) which are divisible by 3 , when repetition of digits is allowed any number of times, is
- A 2187
- B 1458
- C 6561
- D 2916
Answer & Solution
Correct Answer
(A) 2187
Step-by-step Solution
Detailed explanation
Number of choices for the first three digits (\(d_1, d_2, d_3\)): \(9 \times 9 \times 9 = 729\). For each combination of the first three digits, there are exactly \(3\) choices for the fourth digit (\(d_4\)) such that the sum of the four digits is divisible by \(3\). Total…
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