4C3, or "4 choose 3," represents the number of ways you can choose 3 items from a set of 4 items without considering the order. In this case, 4C3 = 4, because there are 4 ways to choose 3 items from a set of 4.
In mathematics, ( 4C3 ) represents a combination formula, specifically the number of ways to choose 3 items from a set of 4 without regard to the order of selection. It is calculated using the formula ( nCr = \frac{n!}{r!(n-r)!} ). For ( 4C3 ), this results in ( \frac{4!}{3! \cdot (4-3)!} = \frac{4 \times 3!}{3! \times 1!} = 4 ). Thus, ( 4C3 = 4 ).
ans- 4c3= 4!\3!*1! =4*3*2*1\3*2*1 =4
The probability of rolling 3 ones with 4 dice is:4C3 (1/6)3 (5/6) = 0.015432098... ≈ 1.54%
4C3 = (4!)/(4 -3)!3!] = (4 x 3!)/(1!3!) = 4 ways
n = number of trials = 4 r = number of success = 3 P(success) = P(H) = p = 1/2 (in 1 toss of a fair coin) P(failure) = P(T) = q = 1/2 Use the formula nCr [p^(n-r)](q^r) : (4C3)[(1/2)^1](1/2)^3 = (4C3)(1/2)^4 = 4 x 1/16 = 4/16 = 1/4
If a coin is flipped 4 times, the probability of getting 3 heads is: 4C3 (1/2)^3 (1/2)^1 = 4(1/8)(1/2) = 4/16 = 1/4
choosing 3 stations from 8... balance 8-3=5stations 5 stations have 4 gaps in between arrange these 3 (where it stops) in 4 gaps in 4C3=4 ways
Using a calculator, plug numbers into the formula: nCk/2^n 4C3/2^4 = 4/16 = 1/4 Pascal's triangle can be used, if you are familiar with that (makes things much easier for a .5 probability scenario. See related link
My best thing Is to use a dime , that's the best luck you can get ... TRUST me , there Is NO Doubt (: & Throw the dime up in the air 4 times ------------------------------------------------------------------------------------------------ From Rafaelrz. The probability of getting one head and 3 tails on a 4 coin toss is; 4C3 x (1/2)4 = 4!/[3!(4-3)!] x [1/2]4 = 0.25 or 25%
Assuming probability of having a boy is P(B) = 1/2, and of having a girl is P(G) = 1/2,the probability of having 3 boys for 4 kids (with out regard to the girl to be the first,second, third or fourth kid) is;P(3B1G) = 4C3 [P(B)]4 = 4 (1/2)4 = 0.250 = 25%The factor 4 comes because there are 4 possibilities for the order in which the girl cancome out.
let the pairs be named as A1 B1,A2 B2,A3 B3,A4 B4.LET US SELECT TWO FROM BOYS AND ONE FROM GIRL THIS WE CAN DO IN 4c2*2c1=12 NOW THE OTHER WAY i.e 2 GIRLS AND 1 BOY 4c2*2c1=12 OTHER WAY IS TO SELECT ALL THE THREE FROM GIRLS OR BOYS=2*4c3 TOTAL 30
Number of different sums of money that can person form is 15. Step-by-step explanation: Given : A person has 4 coins each of different denomination. To find : What is the number of different sums of money the person can form? Solution : A person has 4 coins each of different denomination. Selecting 1 coin out of 4 coins gives possible ways. Selecting 2 coin out of 4 coins gives possible ways. Selecting 3 coin out of 4 coins gives possible ways. Selecting 4 coin out of 4 coins gives possible ways. Total number of different sums of money that can person form is 4c1+4c2+4c3+4c4= 4+6+4+1=15 Therefore, Number of different sums of money that can person form is 15