How many 6-digit numbers can be formed by using the digits 0, 1, 2, 3,

1.	How many 6-digit numbers can be formed by using the digits 0, 1, 2, 3, 4, 5 ?
Answer» Given digits = 0, 1, 2, 3, 4, 5 Hence, 6-digit numbers formed by these digits = 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720 If zero comes in first, then numbers becomes of 5-digit number then the 5-digit number formed is = 5! = 5 × 4 × 3 × 2 × 1 = 120 Hence, the numbers that do not have zero in the begining are = 720 – 120 = 600.

How many 6-digit numbers can be formed by using the digits 0, 1, 2, 3, 4, 5 ?

Answer»

Given digits = 0, 1, 2, 3, 4, 5

Hence, 6-digit numbers formed by these digits = 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

If zero comes in first, then numbers becomes of 5-digit number then the 5-digit number formed is = 5!

= 5 × 4 × 3 × 2 × 1 = 120

Hence, the numbers that do not have zero in the begining are = 720 – 120 = 600.