Answer: The required number of different possible committees is 81172.
Step-by-step explanation: Given that a department contains 9 men and 15 women.
We are to find the number of different committees of 6 members that are possible if the committee must have strictly more women than men.
Since we need committees of 6 members, so the possible combinations are
(4 women, 2 men), (5 women, 1 men) and (6 women).
Therefore, the number of different committees of 6 members is given by
Thus, the required number of different possible committees of 6 members is 81172.
Nine hundred forty one thousandhs
Answer:Then correct option is A
Step-by-step explanation:
The correct option is A
because 3^2+4^2=5^2 based on Pythagoras principle
Answer:
Step-by-step explanation:
The number of grains of wheat on the n(th) square is 2^(n-1), or 2 to
the power of n-1. This is because the first square has 2^0 = 1 grain,
the second has 2^1 = 2, and the n(th) square has twice as many as the
previous. Thus the total number of grains of wheat is
S = 1 + 2 + 4 + 8 + ... + 2^63.
Since this is a geometric sequence with common ratio 2, the sum is
2^64 - 1
S = -------- = 2^64 - 1 = 18446744073709551615.
2 - 1
Answer:
4k - 8
Step-by-step explanation:
Lucy is k years old so we know k is an important part of this problem.
Sister 1 is 3 years younger, so she is k - 3 years old.
Sister 2 is 5 years less than twice Lucy's age therefore, she is 2k (twice Lucy's age) - 5 years old.
Now we have: k + (k - 3) + (2k - 5)
We can simplify like terms with the k's and get 4k. then we add (-3) and (-5) to get 4k - 8.
Hope this helps!
