Question

Find the number of ways of selecting $4$ even numbers from the set of first $100$ natural numbers.

• A. ${}^{51}{C}_4$
• B. ${}^{50}{C}_4$
• C. ${}^{49}{C}_4$
• D. ${}^{100}{C}_4$

Answer 1

Answer: (B)

${}^{50}{C}_4$

There are total 50 even numbers in the set of first 100 natural numbers.
So, Number of ways of selecting 4 even numbers from the set of first 100 natural numbers ${=}^{50}{C}_4$