evaluate the value of 5Cz
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To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
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Solution
To evaluate the expression C52 we use the following formula
nCr =n!/r! (n – r)!
n = 5
r = 2
Substitute n and r values in above formula
nCr =n!/r! (n – r)!
C52= 5!/2! (5-2)!
C52= 5!/2! (3)!
Find the factorial for 5!, 2! & 3!, substitute the corresponding values in the below expression and simplify.
= 5 × 4 × 3 × 2 × 1/(2 × 1)( 3 × 2 × 1)
= 120/(2 )(6)
= 120/12
= 105C2= 10
Answer
C52= 10
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