Question

A box contains 8 different pens and 10 different pencils In how many ways can 3 pens be selected from the box?

• A. ${}^{10}{C}_3$
• B. ${}^8{C}_3$
• C. ${}^{18}{C}_3$
• D. None of these

Answer 1

The correct option is B ${}^8{C}_3$

A combination is a "one or more elements selected from a set in any order
So, $3$ pens can be selected from $8$ pens in ${}^8{C}_3$ ways