Holding rate and clock fixed, longer recovery lowers the count. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
One-second dead time gives ten counts
With 1 second dead time, the 15 second clock accepts 10 counts.
τ=1s,N=10
Two-second dead time gives six counts
With 2 seconds dead time, the same clock accepts 6 counts, using 12 seconds dead.