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pogonyaev
3 years ago
12

How many different ways can a director select 4 actors from a group of 20 actors?

Mathematics
1 answer:
swat323 years ago
3 0
Number of ways = 20C4
Number of ways =  (20 x 19 x 18 x 17) ÷ (4 x 3 x 2 x 1)
Number of ways =  116280  ÷ 24 
Number of ways =  4845.

Answer: 4845
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Tpy6a [65]

ANSWER

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EXPLANATION

The given sequence is

3,-5,-13,.....-229.

The first term of this sequence is

a_1=3

There is a common difference of

d =  - 5 - 3 =  - 8

The last term of this sequence is -229.

The nth term of this sequence is given by:

a_n=a_1+d(n-1)

We use the last term to determine the number of terms in the sequence.

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Divide through by -8;

29= (n - 1)

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Hence there are thirty terms in the sequence.

The sum of the first n terms is given by:

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