All possible values of \(x\)
Number Theory
Level
2
If \(\dfrac{13!}{2^x}\) is an integer, which of the following represents all possible values of \(x?\) (where \( x\) is a non-negative integer).
A. \(0 \le x \le 10\).
B. \(0 \le x \le 9\).
C. \(0 \le x < 10\).
D. \(1 \le x \le 10\).
E. \( 1 < x <10\).
\(\)
Notation: \(!\) is the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).
by
Hana Nakkache