the total number of 5 digit numbers that can be composed of distinct digits form 0 to 9 is
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NDA exam question
for solution refer attachment
answer is option 3
for solution refer attachment
answer is option 3
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Total number of possible digit = 10
(They are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9)
Number of choices for the 1st digit = 9
(excluding the digit 0, since a number cannot start with zero)
Number of choices for the 2nd digit = 9
(any digit except the one that is already used as the 1st digit)
Number of choices for the 3rd digit = 8
(any digit except the ones that are already used as the 1st and 2nd digit)
Number of choices for the 4th digit = 7
(any digit except the ones that are already used as the 1st, 2nd and 3rd digit)
Number of choices for the 5th digit = 6
(any digit except the ones that are already used as the 1st, 2nd, 3rd and 4th digit)
Total possible combinations = 9 x 9 x 8 x 7 x 6 = 27216
Answer: (c) : 27216
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