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Find the count of natural numbers less than $7000$ that can be formed using the digits $0, 1, 3, 7, 9$ with repetition allowed.
1-digit: $1, 3, 7, 9$ (excluding 0) $= 4$
2-digit: First digit: 4 choices (1,3,7,9); second: 5 choices $= 4 \times 5 = 20$
3-digit: First digit: 4 choices; others: 5 each $= 4 \times 5 \times 5 = 100$
4-digit $< 7000$: First digit must be $1$ or $3$ (2 choices, since 7000 and above excluded โ first digit can be 1, 3 only for $< 7000$; digits 7 and 9 give $\geq 7000$): $2 \times 5 \times 5 \times 5 = 250$
Total $= 4 + 20 + 100 + 250 = \mathbf{374}$
Neonatal Resuscitation Program (NRP) โ Algorithm:
- Initial steps (warm, dry, stimulate, position, clear airway) โ 30 seconds
- Assess: breathing, HR
- HR \(<100\,\text{bpm}\) or apnea โ Start PPV with 21% Oโ (room air) for 30 seconds
- After 30 sec PPV: Reassess HR
- HR \(\geq 100\): Continue PPV, wean Oโ
- HR \(60{-}99\): Ensure effective ventilation (MRSOPA), continue PPV
- HR \(<60\) after 30 sec effective PPV โ Start chest compressions + PPV
- Chest compressions:
- Technique: 2-thumb encircling (preferred) or 2-finger method
- Ratio: 3 compressions : 1 ventilation (90 compressions + 30 breaths = 120 events/min)
- Depth: \(\frac{1}{3}\) of AP chest diameter
- After 60 sec compressions + PPV: If HR still \(<60\) โ Epinephrine (IV preferred: \(0.01{-}0.03\,\text{mg/kg}\) of 1:10,000 solution)
Note: Adult CPR ratio is 30:2, but neonatal is 3:1 because neonatal arrest is usually respiratory in origin.
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