Sss109

state = {
  value: 0,
  options: [ 'Не отмечено', 'Отмечено' ],
}

onChange = ({ target: t }) => {
  this.setState(() => ({
    value: +t[t.dataset.stateAttr],
  }));
}

render() {
  const { value, options } = this.state;

  return (
    <div>
      <select
        value={value}
        onChange={this.onChange}
        data-state-attr="value"
      >
        {options.map((n, i) => <option value={i}>{n}</option>)}
      </select>
      <br />
      <label>
        <input
          type="checkbox"
          checked={value}
          onChange={this.onChange}
          data-state-attr="checked"
        />
        {options[value]}
      </label>
    </div>
  );
}