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Chapter 13: Q. 29 (page 855)

List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is C(4,3)?

Short Answer

Expert verified

The list of combinations is 123, 124, 134, 234.

The value of the given combination is 4.

Step by step solution

01

Step 1. Given information.

3 objects are taken at a time from 4 objects 1, 2, 3, and 4 at a time.

The given combinations is C(4,3).

02

Step 2. Determine the list of combinations.

The list of combinations is:

123, 124, 134, 234

03

Step 3. Determine the value of combination.

We know that,

C(n,r)=n!(n-r)!r!

Using the above formula, we get

C(4,3)=4!(4-3)!3!=4!1!3!=4脳3!1脳3!=4

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