Question

There are five cups of different size and five saucers of different size.In how many ways can a person take a pair of cup and saucer?

• A. $5!\times 5!$
• B. $10$
• C. $25$
• D. $10!$

Answer 1

The correct option is C $25$

There are $5$ different cups and $5$ different saucers.

We have to select $1$ cup and $1$ saucer.

${=}^5{C}_1{\times }^5{C}_1=25$