Answer:
The answer is
<h2>376 cm²</h2>
Step-by-step explanation:
Since the rectangular box is a cuboid,
Total surface area of a cuboid is given by
<h3>2( lw + wh + lh)</h3>
Where
l is the length
w is the width
h is the height
From the question
l = 10 cm
w = 8cm
h = 6cm
Substitute the values into the above formula
That's
Total surface area of the rectangular box is
2 [ (10)(8) + (8)(6) + (10)(6) ]
2 [ 80 + 48 + 60 ]
2( 188)
We have the final answer as
<h3>Total surface area = 376 cm²</h3>
Hope this helps you
Answer:3,476
Step-by-step explanation: Just subtract them
This is a classic permutation problem.
We are given the number of permutations of 10 things taken 3 at a
time. Note: ORDER MATTERS because President, Vice-President,
and Treasurer are ordered by rank.
The needed formula is
P(n, r) = n!/(n - r)!
P(10, 3) = 10!/(10 - 3)!
P(10, 3) = (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(7 x 6 x 5 x 4 x 3 x 2 x 1)
We cancel out 7 factorial down to 1 factorial on the top and bottom.
This leaves us with 10 x 8 x 9.
P(10, 3) = 10 x 9 x 8
P(10, 3) = 90 x 8
P(10, 3) = 720
Answer: 720 committees are possible.
Did you follow? This is a probability question regarding permutation.