Multiple Choice
From a class of 28 students, in how many ways could a teacher select 4 students to lead the class discussion?
4. Probability
Counting
Multiple Choice
Evaluate the given expression.
A
B
C
D
Verified step by step guidance1
Understand the notation: '9P4' represents a permutation, which is the number of ways to arrange 4 items out of 9 distinct items.
The formula for permutations is given by: P(n, r) = n! / (n-r)!, where 'n' is the total number of items, and 'r' is the number of items to arrange.
Substitute the values into the formula: P(9, 4) = 9! / (9-4)!.
Calculate the factorials: 9! (9 factorial) is the product of all positive integers up to 9, and 5! (5 factorial) is the product of all positive integers up to 5.
Divide the factorial of 9 by the factorial of 5 to find the number of permutations: P(9, 4) = 9! / 5!.
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