When you have 3 choices for each of 6 spins, the number of possible "words" is
3^6 = 729
The number of permutations of 6 things that are 3 groups of 2 is
6!/(2!×2!×2!) = 720/8 = 90
A) The probability of a word containing two of each of the letters is 90/729 = 10/81
The number of permutations of 6 things from two groups of different sizes is
(2 and 4) : 6!/(2!×4!) = 15
(3 and 3) : 6!/(3!×3!) = 20
(4 and 2) : 15
(5 and 1) : 6
(6 and 0) : 1
B) The number of ways there can be at least 2 "a"s and no "b"s is
15 + 20 + 15 + 6 + 1 = 57
The probability of a word containing at least 2 "a"s and no "b"s is 57/729 = 19/243.
_____
These numbers were verified by listing all possibilities and actually counting the ones that met your requirements.
Answer:
Step-by-step explanation:
<em>A = 1/4√5(5+2√5)a²</em>
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You need 16 tablespoons for 1 cup and 8 tablespoons for a half cup. Therefore you need to have 24 tablespoons of butter to make cake.
Answer:
TWU is congruent to WUV
(I actually don't know if that's how I'm supposed to answer it but do what you will)
6) C, 7) B, 8) B, a spring scale is one tool that can be used to measure force. Explain that a spring scale measures force in units called newtons.
