Permutations And Combinations

Question
CBSEENMA11014065

Compute:

fraction numerator 1 over denominator 6 factorial end fraction plus fraction numerator 1 over denominator 7 factorial end fraction space



Solution

fraction numerator 1 over denominator 6 factorial end fraction plus fraction numerator 1 over denominator 7 factorial end fraction space equals space fraction numerator 1 over denominator 6 factorial end fraction plus fraction numerator 1 over denominator 7 cross times 6 factorial end fraction equals fraction numerator 7 plus 1 over denominator 7 cross times 6 factorial end fraction equals fraction numerator 8 over denominator 7 cross times 6 factorial end fraction equals fraction numerator 8 over denominator 7 factorial end fraction equals fraction numerator 8 over denominator 7 cross times 6 cross times 5 cross times 4 cross times 3 cross times 2 cross times 1 end fraction equals 1 over 630

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