Question

# How many numbers greater than $$24,000$$ can be formed by using digits $$1$$, $$2$$, $$3$$, $$4$$, $$5$$ when no digit is repeated

A
36
B
60
C
84
D
120

Solution

## The correct option is B $$84$$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)$$\implies 5!-4!-3!-3!=120-24-6-6$$Hence the numbers greater than 24,000 that can be formed here = 84Maths

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