Answer:
462 ways
Step-by-step explanation:
The formula to use in solving this problem is given as the Combination formula
The Combination formula is given as
C(n , r) = nCr = n!/r! (n - r)!
We are told that a food bakery has 12 pies unsold at the end of the day which they intend to share to 6 food banks
n = 12, r = 6
In order to ensure that at least 1 food bank gets 1 pie, we have:
n - 1 = 12 - 1 = 11
r - 1 = 6 - 1 = 5
Hence,
C(11, 5) = 11C5
= 11!/ 5! ×(11 - 5)!
= 11!/5! × 6!
= (11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)/ (5 × 4 × 3 × 2 × 1) ×( 6 × 5 × 4 × 3 × 2 × 1)
= 462 ways
Answer:
Sharika needs 2.5 days to finish the remaining work
Step-by-step explanation:
Sharika can do a work in 6 days palkey can do it in 8 days
Then the amount of work sharika can do in 1 day = 1/6
And the amount of work palkey can do in 1 day = 1/8
The amount of work both of them can do together in 1 day = 1/6 + 1/8
= 7/24
The amount of work both of them can do together in 2 day = (2× 7/24)
= 7/12
Since Palkey left the work,the amount of
work remaining for Sharika to do alone = (1 - 7/12 )
= 5/12
The number of days Sharika take to finish the remainig work. = (5/12 ÷ 1/6 )
= 5/2 days
Therefore, Sharika needs 2.5 days to finish the remaining work.
An Artist creates a scale model and of a Sculpture with a scale of 2 inches = 5 feet. If the scale model of the sculpture measures 8 inches tall, how many feet tall is the actual sculpture?
7ft = 84in 84 ÷ 15 = 5.6 pieces he can cut from each board. Since .6 is not a whole piece measuring 15 inches long, he can only cut 5 pieces from each board.
So, 5 x 2 = 10
He would be able to cut 10 pieces measuring 15 inches long.
Hope this helps :)
We can see that for every 1 hour he increases 10 miles in his distance, so we can say it's constant, he started at 0 and increased 10 miles per hour.
Alternative C.
