Question

29.
4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then
number of such numbers is
(a) 120
(b) 20
(C) 96.
(d) none of these​

Answer 1

Answer:

96

Step-by-step explanation:

Divide the four digits into four places:

At first place : 4 digits can be placed( 0 cannot be placed)

At second place - 4 digits can be placed

Similarly,

At 3rd place - 3 digits can be placed

At 4th place - 2 digits can be placed

Now muliply these digits and u will get the answer : -

4 * 4 * 3* 2 = 96

Answer 2

Given :

4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated)

To find :

• How many 4 - digit numbers will form ?

Solution :

Focus Zone : We have to find out 4 - digit. So, don't put 0 in the first.

• ( )( )( )( )

In the first box = 1,2,3,4 (Any four digit can be placed)

In the second box = 0,1,2,3,4 (Any four digit can be placed)

In the third box = Any three digit can be placed

In the fourth box = Any two digit can be placed

• Now let's multiply

→ Possible value will appear in first box × 2nd box × 3rd box × 4th box

→ 4 × 4 × 3 × 2

→ 16 × 6

→ 96

• Number of 4 - digit will form = 96

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