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

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 :-

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

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

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5