Binomial theorem:
The
term corresponds with the term in the sum for which
. For this
, we get
So the coefficient you want to find is
Answer:
3 7/8-2 5/8
<u>31</u><u>-</u><u>21</u>
8
=10/8
=1 1/4 more
There are 625 different 4-digit codes only made with odd numbers.
<h3>
</h3><h3>
How many different combinations can you make?</h3>
To find the total number of combinations, we need to find the number of options for each one of the digits.
There are 4 digits, such that each digit can only be an odd number.
- For the first digit, there are 5 options {1, 3, 5, 7, 9}
- For the second digit, there are 5 options {1, 3, 5, 7, 9}
- For the third digit, there are 5 options {1, 3, 5, 7, 9}
- For the fourth digit, there are 5 options {1, 3, 5, 7, 9}
The total number of different combinations is given by the product between the numbers of options, so we have:
C = 5*5*5*5 = 625.
There are 625 different 4-digit codes only made with odd numbers.
If you want to learn more about combinations:
brainly.com/question/11732255
#SPJ1
Answer:
a) -3
b) 117
c) 100
Step-by-step explanation:
(a) 2(1)²-5(1)
1²= 1
2×1= 2
2-5= -3
(b) 2(9)²-5(9)
9²= 81
81×2= 162
162-45= 117
(c) 2(4)²-5(4) +2(8)²-5(4)
4²=16
16×2= 32
32-20= 12
8²=64
64×2= 128
128-40= 88
88+12= 100
hope it helps!
