There are 7 singers competing at a talent show. In how many different orders can the singers appear?

Mathematics

2 answers:

Nady [450]2 years ago

5 0

7! = 7*6*5*4*3*2*1 = 5,040

makvit [3.9K]2 years ago

4 0

There are 7 singers competing at the talent show. Thus, 7 singers can appear for the first place. Likewise, the remaining 6 singers can appear for the second place. In a similar fashion, 5 singers can appear for the third place. This will continue in this manner till the last place for which only 1 singer can appear. Therefore, the number of different orders in which the singers can appear is given as:

$7\times 6\times 5\times 4\times 3\times 2\times 1=7!=5040$

Therefore, out of the given options, second option is correct.

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What is the volume of the prism?

mezya [45]

Answer:

40 $\frac{5}{8}$ $cm^{3}$

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length = 6 $\frac{1}{2}$ cm

width = 2 $\frac{1}{2}$ cm

height = 2 $\frac{1}{2}$ cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 $\frac{1}{2}$ cm x 2 $\frac{1}{2}$ cm x 2 $\frac{1}{2}$ cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.