Question

ted math 2a credit 5 / alvin hartley - integrated math 2a, credit 5.pdf save
learning goals from lesson 5.5 lesson reflection (c
✓ i can use the formulas for the number of permutations
and for the number of combinations. (standards: s.cp.9+)\tstarting...\tgetting there

1. there are 4 singers competing at a talent show. in how many different ways can the singers appear?

a. 6 ways
b. 16 ways
c. 12 ways
d. 24 ways

Explanation:

Step1: Identify the problem type

This is a permutation problem where we need to find the number of ways to arrange 4 singers. The formula for permutations of \( n \) objects taken \( n \) at a time is \( P(n, n)=n! \).

Step2: Calculate the factorial

For \( n = 4 \), we calculate \( 4! \). The factorial of a number \( n \) is defined as \( n!=n\times(n - 1)\times(n - 2)\times\cdots\times1 \). So, \( 4!=4\times3\times2\times1 = 24 \).

Answer:

d. 24 ways