Hey there!!
How do we solve this problem :
We will use the combinations formula to solve this :
c ( n , r ) where n = 11 and r = 2
c ( n , r ) = n ! / r ! ( n - r ) !
... 11 ! / 2 ! ( 11 - 2 ) !
... 11! / 2! × 9!
... 11! / 2 × 9!
... 11×10×9×8×7×6×5×4×3×2 / 2×9×8×7×6×5×4×3×2
... 11×10 / 2
... 11 × 5
... 55 combinations.
Hence, the required answer = 55 , option ( d )
Hope my answer helps!
0.225, 23%, 1/4
Step my step
23% = 0.23
1/4 = 0.25
Multiply fraction (1 1/2) by the # of hours last week (12).
= 1 1/2 * 12
change to improper fraction
= 3/2 * 12
multiply numerators
= (3*12)/2
= 36/2
= 18 hours
ANSWER: D) 18 H
Hope this helps! :)
Let, the numbers = x,y
x+y= 24 1st eqn
x-y = 44 2nd eqn
24-y-y = 44
-2y = 44-24
y = 20/-2 = -10
substitute that in equation 1st x = 24+10 = 34
so, the numbers would be 34 & -10
-6(-7)-6(+2x)-3x
42-12x-3x
42-15x ..............................................