Five digit numbers formed by using digits 0, 1, 2, 3 and 4 (when repetition of digits are not allowed) are:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 96
Five different digits fill five places, so the places are filled one after another and the choices are multiplied (the fundamental principle of counting). The only restriction is that a five-digit number cannot begin with 0.
First place: any digit except 0, so 4 choices
Second place: any of the 4 digits left (0 is now allowed), so 4 choices
Third, fourth and fifth places: 3, 2 and 1 choices
Numbers \(=4\times4\times3\times2\times1=96\)