Counting Principle

Q. John take a survey with five “yes” or “no” answers. Number of different ways could he complete the survey is

1. $10$
2. $7$
3. $32$
4. $64$

Q. Given $5$ flags of different colors, how many different signals can be generated, if the use of $2$ flags one below the other are required to generate the signal?

1. $20$
2. $30$
3. $24$
4. $36$

Q. A fast-food restaurant has 3 different types of burger, 3 different types of fries, 5 different types of desserts and 4 different types of drink. How many meal combos are possible?

Q. Find the total of number of ways of answering $4$ multiple choice questions, each having $4$ choices?

1. $4\times 4\times 4\times 4$
2. $256$
3. $(4{)}^4$
4. $128$

Q. How many three digit numbers can be formed using the digits $2,3,6,7,9$ with repetition?

1. $(5{)}^3$
2. $(3{)}^5$
3. $(5{)}^5$
4. $(3{)}^3$

Q. The number of $5$ lettered word, with or without meaning, which can be formed from letters of word $\text{CHILD}$ when repetition is not allowed are .

Q.

Represent the following data using tally marks.

Catherine threw a dice $40$ times and the number appearing each time as follows.

$$\begin{gathered} 13566354162534 \\ 6155611223524 \\ 5565162332515 \end{gathered}$$