﻿ Find the sum of all four-digit numbers that can be formed using digits 0, 1, 2, 3, 4, no digits being repeated in any number. : Kaysons Education

# Find The Sum Of All Four-digit Numbers That Can Be Formed Using Digits 0, 1, 2, 3, 4, No Digits Being Repeated In Any Number.

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## Question

### Solution

Correct option is

259980

Required sum of number

= [Sum of four digit number using 0, 1, 2, 3, 4, allowing 0 in first place] – Sum of three digit numbers using 1, 2, 3, 4)].

= 5!/5 [0 + 1 + 2 + 3 + 4] [1 + 10 + 102 + 103] – 4!/4 (1 +2 + 3 + 4) (1 + 10 + 102)

= 24 × 10 × 1111 – 6 × 10 × 111 = 259980

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