1 A teacher has prepared 20 arithmetics tasks and 30 geometry
tasks. For a test he'd like to use:
a) 3 arithmetics and 2 geometry tasks
b) 1 arithmetics and 2 geometry tasks
How many ways are there to build the test?
tasks. For a test he'd like to use:
a) 3 arithmetics and 2 geometry tasks
b) 1 arithmetics and 2 geometry tasks
How many ways are there to build the test?
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Answer:
A. 495,900
B.8,700
Step-by-step explanation:
A. C(20 X 30)
3 2
=20! X 30!
17!3! 28!2!
= 1140. 435
= 495, 900
B. C(20 X 30)
1 2
=20. 435
=8,700
The teacher can choose from 495,900 tests or 8,700 tests respectively.