Find-the-number-of-six-digit-odd-numbers-without-repeated-digits-

Question Number 101880 by mr W last updated on 05/Jul/20

F i n d t h e n u m b e r o f s i x - d i g i t o d d

n u m b e r s w i t h o u t r e p e a t e d d i g i t s .

Answered by bemath last updated on 05/Jul/20

5 \times 8 \times C_{4}^{8} \times 4!

Commented by mr W last updated on 05/Jul/20

c o r r e c t, t h a n k s!

Answered by som(math1967) last updated on 05/Jul/20

Odd numbers unitdigit 1

{\overset{9}{p}}_{5} - \overset{8}{} p_{4} = 9 \times 8 \times 7 \times 6 \times 5 - 8 \times 7 \times 6 \times 5

= 8 \times 7 \times 6 \times 5 (9 - 1)

= 8 \times 7 \times 6 \times 40

∴ total odd numbers = 56 \times 240 \times 5

= 67200

Commented by som(math1967) last updated on 05/Jul/20

welcome sir

Commented by mr W last updated on 05/Jul/20

c o r r e c t, t h a n k s!

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