Question
Download Solution PDFWhat is the value of x if \(\rm {1\over 9!}+{1\over 8!}={x\over 10!}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Some useful formulas are:
n! = n.(n - 1).(n - 2)...3.2.1
Calculation:
Given expression is \(\rm {1\over 9!}+{1\over 8!}={x\over 10!}\)
∴ \(\rm {1\over 9\;\times\; 8!}+{1\over 8!}={x\over 10\;\times \;9\;\times\; 8!}\)
∴ \(\rm {1\over 8!}({{1\over 9} +1})={x\over 10\;\times\; 9\;\times \;8!}\)
∴ \({10\over 9} ={ x\over 10\;\times\; 9}\)
∴ x = 100
Last updated on May 6, 2025
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