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in Permutations and Combinations by (48.0k points)

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

1 Answer

+1 vote
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Best 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.

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