Answer: 6132
Step-by-step explanation:
10x(6x5)+9^3 x8
10x30+9^3 x8
10x30+729x8
300+729x8
300+5832
6132
Hope this helps!
Answer:10
Step-by-step explanation:26/13 is 2 therefore 5 times 2 is 10
Answer: see image
<u>Step-by-step explanation:</u>
Count how many spaces the vertex is away from the line x = -1. Then place that vertex the same distance on the other side of the line x = -1.
Answer: 1440
Step-by-step explanation:
To arrange 3 boys and 4 girls such that no two boys are together.
Since boys should be arranged between the girls.
So first arrange the girls.
Assume that the girls are placed, then there will be 5 spaces left for 3 boys.
The number of combinations to fill these places = 
Also, 3 boys can arrange themselves in 3! =3 x 2 x 1 = 6 ways
4 girls can arrange themselves in 4! = 4x 3 x 2 x 1 = 24 ways
Then, the total number of arrangements = 10 x 6 x 24 = 1440
Hence, the required number of arrangements = 1440