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How to Solve Find the Number of Possible Ways for an Event Problem
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Start Free for WindowsHard#3317
LeetCode ProblemFind the Number of Possible Ways for an Event
You are given three integers n, x, and y. An event is being held for n performers. When a performer arrives, they are assigned to one of the x stages. All performers assigned to the same stage will perform together as a band, though some stages might remain empty. After all performances are completed, the jury will award each band a score in the range [1, y]. Return the total number of possible ways the event can take place. Since the answer may be very large, return it modulo 109 + 7. Note that two events are considered to have been held differently if either of the following conditions is satisfied:
MathDynamic ProgrammingCombinatorics
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Problem Breakdown
Understanding the Find the Number of Possible Ways for an Event Problem
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Problem Statement
You are given three integers n, x, and y. An event is being held for n performers. When a performer arrives, they are assigned to one of the x stages. All performers assigned to the same stage will perform together as a band, though some stages might remain empty. After all performances are completed, the jury will award each band a score in the range [1, y]. Return the total number of possible ways the event can take place. Since the answer may be very large, return it modulo 109 + 7. Note that two events are considered to have been held differently if either of the following conditions is satisfied:
HardProblem #3317
LeetCodeFind the Number of Possible Ways for an Event
Related Topics
MathDynamic ProgrammingCombinatorics
How Phantom Code Helps
Get real-time assistance for Find the Number of Possible Ways for an Event problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
n = 1, x = 2, y = 3
Output
6
# Example 2
Input
n = 5, x = 2, y = 1
Output
32
# Example 3
Input
n = 3, x = 3, y = 4
Output
684
Constraints
1 <= n, x, y <= 1000
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Solve Find the Number of Possible Ways for an Event — You are given three integers n, x, and y. An event is being held for n performer...
Here's the optimal approach using Math:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
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How does Phantom Code help me solve coding problems like Find the Number of Possible Ways for an Event during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Find the Number of Possible Ways for an Event?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Find the Number of Possible Ways for an Event?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Find the Number of Possible Ways for an Event type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Find the Number of Possible Ways for an Event interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
Is Phantom Code detectable when solving problems like Find the Number of Possible Ways for an Event during live interviews?
No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Find the Number of Possible Ways for an Event style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Find the Number of Possible Ways for an Event interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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