ABC26GN0387 · Number System
Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
Find the product of all odd natural numbers less than 5000.
(a)$\frac{5000!}{2500 \times 2501}$
(b)$\frac{5000!}{2^{2500} \times 2500!}$
(c)$\frac{5000!}{2^{5000}}$
(d)None of these
Answer
Explanation
Product of all odd natural numbers less than 5000 $=1 \times 3 \times 5 \times 7 \times \ldots \ldots \ldots . . \times 4999$ $=\frac{1 \times 2 \times 3 \times 4 \times 5 \times 6 \times \ldots \ldots \ldots \ldots \times 5000}{2 \times 4 \times 6 \times 8 \times \ldots \ldots \ldots \ldots 5000}$ $=\frac{5000!}{2^{2500}(1 \times 2 \times 3 \times 4 \times \ldots \ldots \ldots \times 2500)}=\frac{5000!}{2^{2500} .2500!}$.
Explanation as extracted from the printed page; notation may be imperfect.
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