The number of different four digit numbers

Question:

The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is
A. 120
B. 96
C. 24
D. 100

Solution:

C. 24

Explanation:

We know that,

nPr=

$\frac{n !}{(n-r) !}$

Four digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once

=4P4 = 4! = 24

Hence, Option (C) 24 is the correct answer.

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