Question 1 of 42beginner🔧 ApplyNumerical3 marks
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that (i) repetition of the digits is allowed? (ii) repetition of the digits is not allowed?
(i)
Answer
125
(ii)
Answer
60
Explanation
This question tests the fundamental principle of counting (multiplication principle). For part (i), since repetition is allowed, each place can be filled independently with all available digits. For part (ii), without repetition, each digit can be used only once, reducing the available choices for subsequent places.