Question

Four digit numbers to be formed out of figures 0,1,2,3,4
no digit is repeated then number of such answer is

Answer:
4 digit number can be formed in 4 different ways

4321,3214,2143,1432

Thus,

= 4P4 * 4
= 4*3*2*1 * 4
= 96.

Answer 1

Number of 4 digit numbers can be formed = 96

Given:

Digits 0, 1, 2, 3, 4

To find:

Number of four digit numbers formed from given digits where repetition is not allowed

Solution:

Given digits 0, 1, 2, 3, 4

Here repetition is not allowed

As we know 4 digit number will have 4 places i.e 1000's, 100's, 10's and one's place

From given 5 (0, 1, 2, 3, 4) choices

Number of digits can chosen for 1000's place = 4 [ since 0 cannot be chosen ]

After choosing 1, digit in 1000's place remaining choices 4

From remaining 4 choices,

Number of digits can chosen for 100's place = 4

After choosing one digit in 1000's place and one digit in 100's place  remaining choices = 3

From remaining 3 choices,

Number of digits can chosen for 10's place = 3  

After choosing digits in 1000's, 100's place and 10's place  remaining choices 2

From remaining 2 choices,

Number of digits can chosen for one's place = 2    

Total number of numbers can be formed = 4 × 4 × 3 × 2 = 96

Therefore,

Number of 4 digit numbers can be formed = 96

#SPJ1