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If $3$ teams are playing in the same sports league, in how many different orders can they finish their season? $\newline$ _____ orders

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Q. If

3

teams are playing in the same sports league, in how many different orders can they finish their season?

\newline

_____ orders

Understand the Problem: Understand the problem. $\newline$ We need to find out the number of different orders in which $3$ teams can finish their season. This is a permutation problem where we want to arrange $3$ distinct items (teams) in $3$ distinct positions ( $1$ st, $2$ nd, and $3$ rd place).
Calculate Permutations: Calculate the number of permutations. $\newline$ The number of different orders for $3$ teams can be calculated using the factorial of the number of teams, which is $3!$ ( $3$ factorial). $\newline$ Number of orders = $3!$
Find Value of $3!$ : Find the value of $3!$ .
Number of orders = $3!$
= $3 \times 2 \times 1$
= $6$

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