What is the value of the product (1 - 12) (1 - 13) (1 - 14) (1 - 15) - mathselab.com

What is the value of the product (1 – 1/2) (1 – 1/3) (1 – 1/4) (1 – 1/5)?


Question


What is the value of the product (1 – 1/2) (1 – 1/3) (1 – 1/4) (1 – 1/5)?


A. 1/5
B. 2/5
C. 3/5
D. 1


Answer: A. 1/5


Solution:

=> (1 – 1/2) = 1/2

=> (1 – 1/3) = 2/3

=> (1 – 1/4) = 3/4

=> (1 – 1/5) = 4/5 gives (1 – 1/2)(1 – 1/3)(1 – 1/4)(1 – 1/5)

= 1/2 × 2/3 × 3/4 × 4/5

= 1/5




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