Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways
Answer:
3
Step-by-step explanation:
The answer is <span>9.55 minutes
</span>
1. Turn 15 km into miles:
1 km = 0.621 mile
15 km = 15 * 0.621 mile = 9.315 miles
So, she ran 9.315 miles for 89 minutes
2. Calculate <span>how many minutes it took Jimena to run 1 mile during the race:
S</span>he ran 9.315 miles for 89 minutes.
She ran 1 mile for x minutes.
9.315 mi : 89 min = 1 mi : x
x = 89 min * 1 mi / 9.315 mi
x = 9.55 min
Answer: 6
Steps:
7 + 11 + 0 = 18
18/3 = 6