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

Step-by-step explanation:

Given : the total number of digits : 5

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

$\dfrac{n!}{(n-r)!}$

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

$^5P_4=\dfrac{5!}{(5-4)!}=5!=120$

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