How-many-three-digit-numbers-can-be-formed-using-the-digits-2-3-5-7-8-if-the-number-is-odd-and-no-digit-is-repeted-

Question Number 153714 by pete last updated on 09/Sep/21

How many three - digit numbers can be

formed using the digits 2, 3, 5, 7, 8 if

the number is odd and no digit is repeted ?

Answered by EDWIN88 last updated on 09/Sep/21

= P_{1}^{3} \times P_{2}^{4} = \frac{3!}{2!} \times \frac{4!}{2!} = 6 \times 6 = 36

Answered by puissant last updated on 09/Sep/21

A_{3}^{1} \times A_{4}^{2} = \frac{3!}{(3 - 1)!} \times \frac{4!}{(4 - 2)!}

= 3 \times 4 \times 3

= 36 . .

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