Question

Number of 6 digits that can be formed from 0,1,5,6,7,8 in which the first digit is not zero

Answer 1

We have been given 0,1,5,6,7,8.

We have to make a 6 digit number so we draw 6 dashes.

___   ___  ___   ____ ___  ___

0 can't be at the first place (from left to right). Hence, there will be 5 ways to fill the first place.

In the remaining places we can place any digits. So in remaining 5 places, we have

[tex]6\times 6 \times 6\times 6 \times 6\\ =6^5\\ =7776[/tex]

Therefore, the number of 6 digits can be formed is given by

[tex]5\times 7776\\ =38880[/tex]

Therefore, the number of 6 digits numbers that can be formed is 38880.

Answer 2

Answer:

Answer is 600

Step-by-step explanation:

For six digits

___   ___   ___   ___   ___   ___

From given first digit should not zero hence possible way is 5

In first we fill 1 number so for second place possible way is 5

For third 4 digits only possible because for second we use 5 so it is 4

Similarly for fourth 3

fifth 2

sixth 1

Hence 5*5*4*3*2*1=600.