Question-47

There are \(10\) multiple choice questions in a practice assignment of statistics course. The first \(5\) questions have \(4\) choices each and the remaining \(5\) questions have \(5\) choices each. How many sequences of answers are possible\(?\)

• \(4^4 \times 5^5\)

• \(4^5 \times 5^5\)

• \(4^5 + 5^5\)

• \(4! \times 5!\)

Hint

Use the multiplication rule of counting.

Answer

• \(4^4 \times 5^5\)

• \(4^5 \times 5^5\)

• \(4^5 + 5^5\)

• \(4! \times 5!\)

Solution