If he must answer the last question, he effectively needs to select 6 from 10. This can be done in 10C6 = 10*9*8*7/(4*3*2*1) = 210 ways.
If he must include the last question, then his choices really boil down tohow many ways he can select 4 more from the remaining 11.The number of ways he can select 4 from 11 is (11 x 10 x 9 x 8) = 7,920 ways .But each group of 4 can be selected in 24 different ways.So he can only wind up with 7920/24 = 330 different groups of questions.
10 people can line up in (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) = 3,628,800 different ways.
Assuming the Ps and Is are indistinguishable: There are 10! / 3! / 3! = 100800 ways If the Ps and Is are distinguishable, then there are 10! = 3628800 ways
There are 13 ways.
Aquiel can select 4 books out of 10 best sellers, which can be done in 10 choose 4 ways, also denoted as "10C4" or "10 choose 4". This would result in 210 different ways for Aquiel to select and read the 4 books.
If he must answer the last question, he effectively needs to select 6 from 10. This can be done in 10C6 = 10*9*8*7/(4*3*2*1) = 210 ways.
I'm going with 25,200 3 men out of 10 may be chosen in 10C3 ways = 10 ! / 3! 7 ! = 120 ways. 4 women may be chosen out of 10 in 10C4 = 10 ! / 4! 6! ways = 210 ways. Therefore, a committee with 3 men and 4 women can be formed in 120 x 210 = 25,200 ways.
If he must include the last question, then his choices really boil down tohow many ways he can select 4 more from the remaining 11.The number of ways he can select 4 from 11 is (11 x 10 x 9 x 8) = 7,920 ways .But each group of 4 can be selected in 24 different ways.So he can only wind up with 7920/24 = 330 different groups of questions.
10 ways.10 ways.10 ways.10 ways.
The answer depends on how many numbers you select!The answer depends on how many numbers you select!The answer depends on how many numbers you select!The answer depends on how many numbers you select!
She can select 210 different groups of boys and 1820 different groups of girls giving, wait for it, 382200 possible casts!
The number of ways is 10C5 = 10!/(5!*5!) = 10*9*8*7*6/(5*4*3*2*1) = 252
10!
There are several ways to make 15p using different combinations of coins. One way is to use one 10p coin and one 5p coin. Another way is to use three 5p coins. Additionally, you could use a combination of one 10p coin and five 1p coins. In total, there are multiple combinations that can add up to 15p.
There are 1 001 ways a person may select 10 shirts from a collection of 14. To calculate this result you use the expression: 14C10 = 14!/[10!∙(14-10)!] where the symbol !, stands for factorial, such that: n! = n∙(n-1)∙(n-2)∙(n-3)∙,,,∙(4)∙(3)∙(2)∙(1) e.g., 5! = 5x4x3x2x1 = 120 The expression 14C10 will give the number of different 10 entity combinations you can make from a collection of 14 different entities.
10 people can line up in (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) = 3,628,800 different ways.