In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). How many different choices does the player have
10*9*8*7 = ____
To find the number of different choices a player has in picking four numbers from 0 to 9 (without repetition), we can use the concept of permutations.
In this scenario, the player needs to choose 4 numbers out of a total of 10 numbers (0 to 9). Since repetition is not allowed, each choice reduces the number of available options for the remaining choices.
The first choice can be any of the 10 numbers (0 to 9), so there are 10 options.
For the second choice, there are only 9 remaining numbers to choose from since the selected number in the first choice cannot be repeated.
Similarly, for the third choice, there are only 8 remaining numbers available.
Finally, for the fourth choice, there are 7 numbers remaining.
To calculate the total number of different choices, we need to multiply the number of options for each choice together:
10 choices * 9 choices * 8 choices * 7 choices = 5,040 different choices
Therefore, a player has a total of 5,040 different choices in picking four numbers from 0 to 9 (without repetition) in the daily lottery game.
To calculate the number of different choices a player has in a daily lottery game where they pick four numbers from 0 to 9 without repetition, we can use the concept of combinations.
Since there are 10 possible numbers (0 to 9) and no repetition is allowed, the player's first choice has 10 options. After making the first choice, the player is left with 9 possible numbers to choose from for the second number. Similarly, for the third number, the player has 8 choices, and for the fourth number, there are 7 choices remaining.
To find the total number of different choices, we multiply all the individual choices together:
10 choices for the first number x 9 choices for the second number x 8 choices for the third number x 7 choices for the fourth number = 10 x 9 x 8 x 7 = 5,040.
Therefore, the player has 5,040 different choices in this lottery daily game.