Choose 🎯

$$\binom{5}{2} = \;?$$

❗ What is $5!$ (5 factorial)?

Choose 🎯

$$\binom{10}{2} = \;?$$

Factorial ❗

$$6! = \;?$$

Factorial ❗

$$7! = \;?$$

🧦 A drawer has 10 blue socks and 10 black socks. It is pitch dark.

How many socks must you grab to be SURE you have a matching pair?

Factorial ❗

$$3! = \;?$$

Factorial ❗

$$4! = \;?$$

Choose 🎯

$$\binom{6}{4} = \;?$$

Factorial ❗

$$5! = \;?$$

Handshakes 🤝

$9$ people each shake hands once. How many handshakes?

Choose 🎯

$$\binom{7}{2} = \;?$$

Handshakes 🤝

$8$ people each shake hands once. How many handshakes?

Arrange 🔀

How many ways to arrange $3$ of $5$ items (order matters)?

Choose 🎯

$$\binom{7}{3} = \;?$$

Arrange 🔀

How many ways to arrange $2$ of $8$ items (order matters)?

Arrange 🔀

How many ways to arrange $2$ of $4$ items (order matters)?

Choose 🎯

$$\binom{7}{4} = \;?$$

Choose 🎯

$$\binom{4}{2} = \;?$$

Choose 🎯

$$\binom{8}{2} = \;?$$

Arrange 🔀

How many ways to arrange $3$ of $7$ items (order matters)?

📚 In how many ways can 4 different books be arranged in a row?

Handshakes 🤝

$6$ people each shake hands once. How many handshakes?

🥇 From 6 people, in how many ways can a chairperson and a deputy be chosen (order matters)?

Choose 🎯

$$\binom{6}{3} = \;?$$

Handshakes 🤝

$14$ people each shake hands once. How many handshakes?

Arrange 🔀

How many ways to arrange $3$ of $6$ items (order matters)?

0️⃣ How many zeros are at the very END of $100!$ (100 factorial)?

Arrange 🔀

How many ways to arrange $3$ of $8$ items (order matters)?

Handshakes 🤝

$5$ people each shake hands once. How many handshakes?

⚽ 8 teams play, each team playing every other team once.

How many matches in total?

Handshakes 🤝

$13$ people each shake hands once. How many handshakes?

👥 In how many ways can 3 of 5 students be chosen for a team (order does not matter)?

Choose 🎯

$$\binom{5}{3} = \;?$$

Handshakes 🤝

$7$ people each shake hands once. How many handshakes?

Handshakes 🤝

$11$ people each shake hands once. How many handshakes?