A. C(13, 10) = 13! = 13·12·11 = 13 · 2 · 11 = 286.C(13, 10) = 13! = 13·12·11 = 13 · 2 · 11 = 286.
B. P(13,10)= 13! =13! =13·12·11·10·9·8·7·6·5·4.
(13−10)! 3!
C. f there is exactly one woman chosen, this is possible in C(10, 9)C(3, 1) =
10! 3!
9!1! 1!2!
10! 3!
8!2! 2!1!
10! 3!
7!3! 3!0!
= 10 · 3 = 30 ways; two women chosen — in C(10,8)C(3,2) =
= 45·3 = 135 ways; three women chosen — in C(10, 7)C(3, 3) =
= 10·9·8 ·1 = 120 ways. Altogether there are 30+135+120 = 285
1·2·3
<span>possible choices.</span><span>
</span>
Answer:
12cos59, about 6.18
Step-by-step explanation:
cos59 = x/12
(adjacent/hypotenuse)
x = 12cos59
plugging this into a calculator gets you about 6.18
Answer:
32
Step-by-step explanation:
the number of options for doors (2) times the number of options for cylinder (2 )times the number of colour options (8) (2x2x8) is 32. My apologies I don't know about number 5
You would first learn how many weeks there are in a year which is 52
So you would multiply 52x156
Which equals 8112
Asher pays $8112 per year for piano lessons