In the context of MS-EXCEL spreadsheet software, consider a case where there are 10000 random numbers from 0 to 1, located in cells through A1:A10000. How many of the following statements A-D are true? A. A COUNTIFS function in cell B2 with one criteria, based on the range A1:A10000, cannot evaluate to less than 0 Choose the correct answer from the options given below:
B. A COUNTIFS function in cell B2 with two criteria, each based on the range A1:A10000, cannot evaluate to less than 0
C. A COUNTIFS function in cell B2 with one criteria, based on the range A1:A10000, cannot evaluate to greater than 10000
D. A COUNTIFS function in cell B2 with two criteria, based on the range A1:A10000, cannot evaluate to greater than 10000
4
This question tests the mathematical bounds of Excel's COUNTIFS function. COUNTIFS scans one or more ranges against one or more criteria and returns the count of rows that satisfy all the given criteria simultaneously. A count of anything is, by nature, a whole number that can never be negative, and it can never exceed the number of items being examined.
Statement about a single-criterion COUNTIFS never being less than 0 — true: a count of matching cells is at minimum 0 (when nothing matches). It cannot logically be negative, so this holds.
Statement about a two-criteria COUNTIFS never being less than 0 — true: adding a second criterion only makes the condition stricter; the result is still a count, and a count cannot drop below 0. So this also holds.
Statement about a single-criterion COUNTIFS never exceeding 10000 — true: the range A1:A10000 contains exactly 10,000 cells. Even if every single cell matched the criterion, the count could reach 10,000 but never more, because there are only 10,000 cells to count. So this holds.
Statement about a two-criteria COUNTIFS never exceeding 10000 — true: with two criteria a cell must satisfy both conditions to be counted, which can only equal or reduce the number of qualifying cells relative to a single criterion. The maximum remains 10,000. So this holds too.
All four statements are correct, so the number of true statements is 4. The options 3, 2 and 1 undercount the valid statements.
Correct answer: 4.
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