Question

How
different 5 digits
numbers can be
many
written
the
using digity 0,3,3,5, 5​

Answer 1

Answer:

33550

35350

53530

50353

30535

Answer 2

Answer:

★ǫᴜᴇsᴛɪᴏɴ★

How many different 5 digits numbers can be written using the digits 0,3,3,5, 5.

Answer:-

$\small \bf \underline{Given:}$

Five digits 0, 3, 3, 5, 5

$\small \bf \underline{To \: find:}$

5 digit different numbers that can be formed with the help of the digits 0, 3, 3, 5, 5

$\small\bf \underline{formula \: used:}$

$\small \bf P(n, r) \: = \frac{n!}{(n - r)!}$

$\small\bf \underline{Solution:}$

The number of 5 digits arrangement is

$\small \bf \frac{P(5, 5)}{2!2!}$

$\small \bf = \frac{5!}{2 \times 2}$

$\small \bf = \frac{120}{4}$

$\small \bf = 30$

But this will include those numbers also which start with 0 at the extreme left position. The number of such arrangements are

$\small \bf \frac{P(4, 4)}{2!2!}$

$\small \bf = \frac{4!}{2!2!}$

$\bf \implies \: \frac{24}{2 \times 2}$

$\small \bf = 6$

Therefore the required numbers are 30 - 6 = 24