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A musician plans to perform 3 selections in how many ways can she arrange the musical selections?
22
How many different selections of 3 cards can be made from 12 face cards?
The number of selections of 3 cards that can be made from 12 different cards (it does not matter if they are face cards or not) is the number of combinations of 12 things taken three at a time. In this case it is (12! - 9!) / 3! which is 220.
How many different selections of 4 books can be made from a bookcase displaying 12 books?
The answer is 12C4 = 12*11*10*9/(4*3*2*1) = 495
How many different 7-digit telephone members are possible if the first digit can not be zero and no digit repeat?
There are 10 possible numbers that can be chosen. Since the first digit can't be 0, there are 9 selections for the first digit. The second number can include a 0, but can't include the first number chosen, so there are 9 selections for the second digit. Then there are 8 digits for the next number, 7 digits for the next number, and so on. Total telephone numbers are: 9*9*8*7*6*5*4 = 544320 phone numbers.
What is a boxed quinella?
a box quinella is more than 2 selections eg. 3 selections gives you 3 chances to win 1 & 2 1 & 3 2 & 3 with 4 selections it is 6 doubles stake 6 dollars with 5 selections it is 10 doubles in australia itis a 1 dollar stake10 dollars
