How many numbers greater than 24000 can be formed by using digits… - Vidyadip

MCQ

How many numbers greater than $24000$ can be formed by using digits $1, 2, 3, 4, 5 $when no digit is repeated

A
$36$
B
$60$
✓
$84$
D
$120$

✓

Answer

Correct option: C.

$84$

c
(c) The digits are $1, 2, 3, 4, 5$. We have to form number greater than $24000.$

Required number will be = (Total) -(Those beginning with $1$) -(Those beginning with $21$) -(Those beginning with $23$)

= $5\,!\, - \,4\,!\, - 3\,!\, - 3\,!\, = \,120 - 24 - 6 - 6 = 84$.

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