8!3. Compute 61x2!
The given expression is 8 ! 6 ! × 2 ! .
The formula to calculate n ! is defined as,
n ! = 1 × 2 × 3 × ⋯ × ( n − 1 ) × n
To take the common factor from numerator and denominator, factorize the bigger term in factorials.
The formula to calculate the factors of a factorial in terms of factorial itself is,
n ! = n ( n − 1 ) ! n ! = n ( n − 1 ) ( n − 2 ) ! [ n ≥ 2 ] ⋮
The given expression can be written as,
8 ! 6 ! × 2 ! = 8 × 7 × 6 ! 6 ! × 2 !
Cancel the common factors from numerator and denominator.
8 ! 6 ! × 2 ! = 8 × 7 2 × 1 = 4 × 7 = 28
Thus, the value of 8 ! 6 ! × 2 ! is 28.
The given expression is
The formula to calculate
To take the common factor from numerator and denominator, factorize the bigger term in factorials.
The formula to calculate the factors of a factorial in terms of factorial itself is,
The given expression can be written as,
Cancel the common factors from numerator and denominator.
Thus, the value of
