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.