You have to calculate how many combinations of 6 people can be chosen from 11. The formula for this is:
n! / [r! * (n-r)!]
combinations = 11! / [6! * 5!] =
11 * 10 * 9 * 8 * 7 / 5 * 4 * 3 * 2 *1 =
11 * 3 * 2 * 7 =
462 Combinations
Source:
http://www.1728.org/combinat.htm
Answer:
x=133
Step-by-step explanation:
the missing angle plus are supplementary. the missing angle is 47 as a triangle must be 180 degrees.
therefore 180=x+47
Assuming no border or waste, 9m by 16 m translates to 29.52' x 52.49'.
use 32/8=4 sheets of plywood to cover the width on the 8' side.
For the length, use 52/4=13 pieces on the 4' side.
This gives a total of 4*13=52 sheets.
The extra 0.49' x 29.52 can be covered using the extra from the last four sheets for the width.
Check:
Area to be covered: 29.52*52.49=1550 sq. ft.
Area of plywood supplied = 52*4'x8'= 1664 sq. ft, > 1550 sq.ft.
ANSWER: 51 + 3q
STEP BY STEP:
Rewrite the equation ⇩
3(2+q) + 15
Distribute ⇩
6 + 3q + 45
Combine like terms (6+45) ⇩
51 + 3q
Enjoy your final answer. Hope that helped ★
51 + 3q