4. How many ways can you shuffle 7 songs in a playlist?
2 answers:
Answer:
5040
Step-by-step explanation:
There are 7 options for the 1st song, 6 options for the 2nd song, 5 options for the 3rd song, 4 options for the 4th song, 3 options for the 5th song, 2 options for the 6th song, and 1 option for the 7th song. We get:
(<em>Note: when you have a number n, where it is multiplied by every number until one (ex. 7. 7*6*5*4*3*2*1), then the number in the result is n! (n factorial). So we get that 7*6*5*4*3*2*1 is 7! is 7 factorial. So 5040 is 7! </em>)
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Answer: After 3 hours both will have the same cost.
Step-by-step explanation:
Let x = Number of hours and y be the total cost.
Total cost = Initial cost + (cost per hour)(Number of hours)
At Mike's Bounce Shop,
Total cost (y)= 30+2x
At Jose's Bounce Rentals,
Total cost(y) = 12+8x
When both shops have the same cost, then
Total cost = 12+8(3)=12+24=$36
Hence, After 3 hours both will have the same cost.