Please ignore my solution. Please solve for me

For example, the number of possible permutations when drawing 3 tiles from a box of 5 is ,P, = 5 . 4 . 3 = 60. This calculation can be rewritten as a ratio of factorials. (Notice that the factorial in the denominator cancels out the "tail" of the factorial in the numerator.) sPa = 5 - 4 . 3 5.4 .3.2 7 5! 21 above. A. Rewrite the following permutation calculations using factorial notation, as shown in the example 82 51 / 31 P3 = 71 / 41 B. In each fraction, how does the numerator relate to n and ? n! C. How does each denominator relate to n and r? (n-r)! D. Challenge: Based on your answers to B and C, write a general formula for ,P, in factorial notation in the space to n! / (n-r)! the right. P. = Get the Gizmo ready: Activity C: E- AE . Set the Number of tiles in box to 3. - 1 - Al Combinations . Set the Number of draws from box to 2. EXAT . Next to Is order important? select No I - EI Introduction: In some cases, the order of events or objects is important. For example, order matters when you are spelling words with letters. In other cases, order is not important. For example, a group of coins represents the same value no matter now they are ordered. 1. Select the TREE tab. Notice that some of the different permutations are grayed out. These are the permutations that duplicate other permutations. For example, AE and EA are two different permutations, but they are only counted as one combination. A. List the equivalent pairs of combinations: EA and AE IA and Al IE and El B. How many combinations are there for 2 draws from a box of 3 tiles? 6 The notation for the number of possible combinations when you draw 2 tiles out of a set of 3 tiles is 3 C2. In general, the number of combinations resulting from choosing r objects from a set of n objects is given by the notation , Cr. 2. Set the Number of tiles in box to 4 and the Number of draws from box to 1. Select the LIST tab. Use the LIST tab to find the number of possible permutations and combinations for each of the following situations, increasing the number of draws by 1 each time. 4P 2 = AP 3 AP, = y. Public sharing or posting prohibited, @ 2020 ExploreLearning TH All rights reserved