Total number of ways

Related BrainMass Solutions

• Tetrahybrid cross: probabilities of genotypes

  number of ways of forming the genotype = 4 x 4 x 4 x 4= 256 Probability is the number of ways in which the desired combination occurs divided by the total number of combinations Thus we will have 256 in the denominator of all the

• Probability-poker hands

  b, c are 48 x 44 / (1 x 2 )= 1,056 (We divide by (1x 2 ) as the order of choosing b, c is not important Therefore total no of ways of selecting three of a kind (a,a,a,b,c) = 54,912 =52*1056 Total number

• Fundamental Counting Principles: Permutation & Combination

  Therefore, total number of ways = 5 * 4 * 3 * 2 = 120 6.) In how many ways can you choose 7 cards from a deck of 52 cards? Answer Total number of ways = 52C7 = = 133784560 7.)

• Probability Calculations

  number of ways of selecting 2 cards out of 52 cards= 1326 =combin (52,2) where combin (52,2) stands for selecting 2 out of 52 cards Total number of aces= 4 aces Total number of ways of selecting

• Combination

  Therefore total number of 4 digit numbers where leading digit cannot be zero = 9*10*10*10 = 9000 (b) Since the leading digit cannot be zero, the number of ways the leading place can be filled by any digit is 9 (from 1-9).

• Probability of getting a 5 as the sum of the two dice

  The probability is the ratio of Number of ways we can get a total of 5 / Total number of possible outcomes First die-----Second die 1------------------4 2------------------3 3------------------2 4------------------1 From this, Number of

• Combination and Permutation

  Total no. of cases = 26.26.26.10.10.10 = 17576000 This solution shows step-by-step calculations to determine the total number of ways a specific sequence can be created in multiple combination and permutation scenarios.

• Combinations : Finding possible ways a social security number can be arranged.

  NOTE 2: Same problem could be solve by another method, as follows, Total number of social security numbers, when 0 can be used at first digit = 10^9 Total number of social security numbers, when only 0 is used at first digit = 1*10^8 Therefore

• Probability

  So here we have: P (defective part)= number of ways it can occur/The total number of possible outcomes Let's look at the number of ways it can occur.

• Combinatorial Mathematics : Distinct Elements and Combinations

  Similar to (a), we get C(5,1)*1+C(5,2)*3+C(5,3)*3+C(5,4)*1=5+30+30+5=70 ways Therefore, the total number of ways is 35+150+70=255 (c) Now each number may be selected at most 3 times.