In a cricket tournament 5 matchs were played, then in how many ways result can be declared?

Answer

To solve the problem of how many ways the results can be declared in a cricket tournament where 5 matches are played, we can follow these steps:

### Step 1: Understand the Problem
In a cricket match, there are typically two possible outcomes: one team wins, and the other team loses. Therefore, for each match, there are 2 possible results.

### Step 2: Determine the Total Number of Matches
We know that there are 5 matches played in the tournament.

### Step 3: Calculate the Total Outcomes
Since each match has 2 possible outcomes, and there are 5 matches, we can use the formula for the total number of outcomes, which is given by:
\[ \text{Total Outcomes} = 2^{n} \]
where \( n \) is the number of matches.

### Step 4: Substitute the Values
Substituting \( n = 5 \):
\[ \text{Total Outcomes} = 2^{5} \]

### Step 5: Perform the Calculation
Calculating \( 2^{5} \):
\[ 2^{5} = 32 \]

### Conclusion
Therefore, the total number of ways the results can be declared in the tournament is **32**.

---