Asked by Peyton Bowers on Apr 29, 2024
Verified
Evaluate the binomial coefficient 58C1{ } _ { 58 } C _ { 1 }58C1 .
A) 575757
B) 000
C) 585858
D) 222
E) 111
Binomial Coefficient
A numerical factor that represents the number of ways to choose a subset of elements from a larger set, commonly expressed as "n choose k."
- Understand the basic concepts and properties of binomial coefficients.
- Calculate specific binomial coefficients using formulas.
Verified Answer
KS
Kevin SanabriaMay 04, 2024
Final Answer :
C
Explanation :
The binomial coefficient nCr{ } _ { n } C _ { r }nCr represents the number of ways to choose r items from a set of n items, without order and without replacement.
So, 58C1{ } _ { 58 } C _ { 1 }58C1 represents the number of ways to choose 1 item from a set of 58 items. Since we are choosing only 1 item, there are 58 choices.
Therefore, 58C1{ } _ { 58 } C _ { 1 }58C1 = 58.
The answer is C.
So, 58C1{ } _ { 58 } C _ { 1 }58C1 represents the number of ways to choose 1 item from a set of 58 items. Since we are choosing only 1 item, there are 58 choices.
Therefore, 58C1{ } _ { 58 } C _ { 1 }58C1 = 58.
The answer is C.
Learning Objectives
- Understand the basic concepts and properties of binomial coefficients.
- Calculate specific binomial coefficients using formulas.