Respuesta :
Answer:
480 ways
240 ways
Probability = 1/7
Step-by-step explanation:
Given:
Number of student = 5
Number of teacher = 2
Computation:
1. Number of ways can they line up, side by side, for a picture.
5! × 2! × 2
480 ways
2. Number of ways can they line up if they must have the teachers on both sides of the picture.
5! × 2!
240 ways
3. Probability that the two teachers occupy two of the three middle slots.
³C₂ × 5! × 2!
720 ways
Total number = 7! = 5,040 ways
Probability = 720 / 5,040
Probability = 1/7
The number of ways that can they line up, side by side, for a picture is 480 ways
The number of ways can they line up if they must have the teachers on both sides of the picture is 240 ways
Th probability that the two teachers occupy two of the three middle slots is 1/7
Calculation of number of ways and probability:
Sincee Five students and two teachers attend a conference at Statistics Canada
The number of ways should be
= 5! × 2! × 2
= 480 ways
Now the number of ways is
= 5! × 2!
= 240 ways
Now the probability is
= ³C₂ × 5! × 2!
= 720 ways
And, finally
Total number = 7! = 5,040 ways
Probability = 720 / 5,040
Probability = 1/7
learn more about probability here: https://brainly.com/question/23270719