Question
A group of 5 student is selected from a class of 20.In how many ways can the selection be made?
Answers
Answered by
GPT 3.5
This problem can be solved using combinations. The number of ways to select 5 students from a class of 20 can be calculated using the formula for combinations, which is:
nCr = n! / r!(n-r)!
In this case, n = 20 (total number of students) and r = 5 (number of students to be selected). Plugging these values into the formula, we get:
20C5 = 20! / 5!(20-5)!
= 20! / 5!15!
= (20 * 19 * 18 * 17 * 16) / (5 * 4 * 3 * 2 * 1)
= 15504
Therefore, there are 15,504 ways to select a group of 5 students from a class of 20.
nCr = n! / r!(n-r)!
In this case, n = 20 (total number of students) and r = 5 (number of students to be selected). Plugging these values into the formula, we get:
20C5 = 20! / 5!(20-5)!
= 20! / 5!15!
= (20 * 19 * 18 * 17 * 16) / (5 * 4 * 3 * 2 * 1)
= 15504
Therefore, there are 15,504 ways to select a group of 5 students from a class of 20.
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