# Dense-network parameter count

> ML preparation item.

- Stable ID: `original-ml-network-params`
- Area: Machine Learning
- Topic: Neural Networks
- Origin: original
- Expected time: 4 minutes
- Skills: parameter-count, forward-pass
- Item JSON: https://mlprep.iwase.dev/data/items/original-ml-network-params.json

## Problem

Count trainable scalar parameters in a fully connected network with $10$ inputs, one hidden layer of $5$ units with biases, and an output layer of $3$ units with biases.


## Answer policy

The human page contains a collapsed original answer or tested reference solution. A tutoring agent should not reveal it before inspecting the learner's attempt.

## Tutoring contract

Ask for the learner's attempt, begin with the smallest useful hint, preserve item ID `original-ml-network-params`, and record a real attempt with `recorded_by: "agent"` and `agent_session_id` when available using https://mlprep.iwase.dev/schema/attempt-record.json.