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If in a party everyone shakes everyone else and the total handshakes are 66 How many people are in the party?
Answer : 12 people. The 1st person can't shake hands with him/herself so has 11 handshakes, the 2nd person has 10 ....and so on. The total is 11 + 10 + ....+ 3 + 2 + 1 = 66. Another way is to use the formula to sum a range of consecutive integers from 1 to n. The Sum = ½n(n - 1) In this case, we can put, ½n(n - 1) = 66 then, 132 = n2 - n : n2 - n - 132 = 0 This equation can be factored, (n + 11)(n - 12) = 0 As we only require a positive integer solution, this is when n - 12 = 0, n = 12.
66 inches is how many inches?
66 inches is 66 inches.
How many inches is 66 inches?
66 inches is 66 inches.
If you have 66 shake hands how many people in the party?
If there are n people, you have n*(n-1)/2 handshakes That gives the equation n*(n-1)/2 = 66 or n*(n-1) = 132 n2 - n - 132 = 0 (n - 12)*(n + 11) = 0 The solution to this quadratic are n = 12 or n = -11 Since the number of people cannot be negative, n must be 12.
How many groups of 6 are in the number 66?
Well, isn't that a happy little question! If you have 66 and you're looking to find out how many groups of 6 you can make, you simply divide 66 by 6. When you do that, you'll find that there are 11 groups of 6 in the number 66. Just imagine all those little groups happily fitting into 66, creating a beautiful mathematical landscape!
