Answer:
49,744.8 so round up to 49,745
Step-by-step explanation:
If the exclusion of Miss Jones and Mr Smith serving together was not present, the are 15C4 = 1365 ways of selecting the committee.
Miss Jones can serve on the committee in the following ways:
a) with 3 men
b) with 2 men and another woman
c) with 1 man and 2 other women
d) with 3 other women.
Arrangement d) obviously presents no restrictions.
Arrangement a) has 7C3 ways excluding Mr Smith, and 8C3 ways if Mr Smith was included.
Arrangement b) has 7C2 * 6 ways excluding Mr Smith, and 8C2 * 6 ways if Mr Smith was included.
Arrangement c) has 7 * 6C2 ways excluding Mr Smith, and 8 * 6C2 ways if Mr smith was included.
The reductions in ways caused by the restriction are as follows:
a) 8C3 - 7C3 = 21 ways
b) 6(8C2 - 7C2) = 42 ways
c) 6C2 = 15 ways
The total reduction in the number of ways is: 21 + 42 + 15 = 78.
Therefore the total number of ways of selecting the committee, while observing the restriction, is 1365 - 78 = 1287 ways.
Answer:
25m?
Step-by-step explanation:
I mean I'm not sure what the question is asking for but after 25 months he won't have any money left lol hope that helped ♡
Answer:
Correct answer: pt = 7,000 minutes
Step-by-step explanation:
This is arithmetic series:
p₁ = 40 min
p₂ = p₁ + 20
p₃ = p₂ + 20 = p₁ + 2 · 20
p₄ = p₃ + 20 = p₁ + 3 · 20
...........................................
pₙ = p₁ + (n - 1) · 20
25 - th day will be practicing:
p₂₅ = 40 + 24 · 20 = 520 minutes
The total sum of the arithmetic series is calculated according to the following formula:
Sₙ = (n/2) (p₁ + pₙ)
In 25 days he will have practiced total minutes
pt = (25/2) · ( 40 + 520) = (25/2) · 560 = 7,000 minutes
pt = 7,000 minutes
God is with you!!!
