Step 1 Recall the Counting Rule for Combinations; the number of combinations of n objects taken r at a time is n! Cn.r where n and r are whole numbers and n 2 r. %3D r!(n - r)! Use the formula to compute C, . Substitute for n and 2 2 for r, and simplify. 6! n! !! r!(n -r)! 6! 2! Step 2 Continue to simplify by evaluating each factorial. Recall that n! = n(n – 1)(n – 2) 1. · 3· 2 1 6! 6 5- 2! 4! (2 · 1)(4 · 3 2· 1) Thus, C6,2 Submit Skip (you cannot come back) PDF

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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Chapter1: Starting With Matlab
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Step 1
Recall the Counting Rule for Combinations; the number of combinations ofn objects taken r at a time is
n!
Cn.r
where n and r are whole numbers and n > r.
r!(n - r)!
Use the formula to compute C . Substitute 6
6 for n and 2
2 for r, and simplify.
6!
n!
r!(n - r)!
2! 6
6.
6!
2! ( 4
年早
Step 2
n(n – 1)(n – 2) -- - 1.
Continue to simplify by evaluating each factorial. Recall that n! =
6 5-
· 3· 2·1
6!
2! 4!
(2 · 1)(4 · 3 · 2 1)
Thus, C6,2 =
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2.
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Transcribed Image Text:Step 1 Recall the Counting Rule for Combinations; the number of combinations ofn objects taken r at a time is n! Cn.r where n and r are whole numbers and n > r. r!(n - r)! Use the formula to compute C . Substitute 6 6 for n and 2 2 for r, and simplify. 6! n! r!(n - r)! 2! 6 6. 6! 2! ( 4 年早 Step 2 n(n – 1)(n – 2) -- - 1. Continue to simplify by evaluating each factorial. Recall that n! = 6 5- · 3· 2·1 6! 2! 4! (2 · 1)(4 · 3 · 2 1) Thus, C6,2 = Submit Skip (you cannot come back) 8. PDF 2. 2.
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