Question

How many different 4-digit numerals can be made from the digits of 56987 if a digit can appear just once in a numeral?

Answer 1

Answer: 120

Explanation:

Given : the total number of digits : 5

The number of permutations of n things taken r at a time is given by :-

`(n!)/((n-r)!)`

By using permutation, the number of different 4-digit numerals can be made from the digits of 56987 is given by :-

`^5P_4=(5!)/((5-4)!)=5!=120`

Hence, the number of different 4-digit numerals can be made from the digits of 56987 is 120 .