The number of ways that the dancers can line up is; 518400 ways
<h3>What is the Fundamental Counting Theorem?</h3>
The fundamental counting theorem is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
N = n1 * n2 * n3.....*nₙ
Total = 12
Dancers on Green = 6
Dancers on blue = 6
Number of ways for those wearing green = 6!
Dancers wearing green must be in the first position and so 6 places are left for the blue dancers.
Number of ways to arrange those wearing blue = 6!
Thus;
Number of ways that the dancers can line up = 6! * 6! = 518400 ways
Read more about Fundamental Counting Theorem at; brainly.com/question/26814852
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Answer:
9x + 30 ≤ 22
Step-by-step explanation:
Let x be "a number."
"the sum of a number times 9" is 9x +
"and 30" 9x + 30
"is at most 22" 9x + 30 ≤ 22
Answer:b c
Step-by-step explanation:
did it
Answer:
31.5 hours
Step-by-step explanation:
Given that 1 unit of electricity is consumed in 3 hours by 1 fan, it means that 2 fans will consume 1 unit in
= 3/2 hours
= 1.5 hours
If 2 fans consume 1 unit in 1.5 hours then 21 units will be consumed in
= 21 * 1.5/1
= 31.5 hours
It means he used the fans for 31.5 hours