Question: I fixed it 4. Five managers and 40 sales representatives volunteer to attend a trade show. If the company can afford to send three people,

I fixed it

4. Five managers and 40 sales representatives volunteer to attend a trade show. If the company can afford to send three people, determine the number of possible combinations in each of the following cases. Show a suitable number of middle steps, using the formula for combinations. (a) How many combinations have no restrictions? (b) How many combinations exist, if at least one manager and at least one salesperson must attend the conference? 1. Use the word \"Massachusetts,\" to answer these questions. (a) Showing at least 1 (one) middle step, determine the total number of permutations of \"Massachusetts.\" (b) Showing a suitable number of middle steps, determine the total number of permutations of \"Massachusetts," if \"the two \"t's\" must not be side-byside. 2. Use the words \"Winnipeg,\" and \"Manitoba," to answer these questions. (a) Showing at least 1 (one) middle steps, determine the total number of permutations of \"Winnipeg." (b) Showing a suitable number of middle steps, determine the total number of permutations of \"Winnipeg," if \"w" must not be the rst letter. (0) Showing at least 1 {one} middle step, determine the total number of permutations of \"Manitoba." (d) Showing a suitable number of middle steps, determine the total number of permutations of "Manitoba," if \"i" and '1" must not be side-by-side. 3. For each part of this question, ' Set up a suitable calculation, using the formula for combinations. - Evaluate the probability. a. What is the probability of ipping 3 heads in 9 tosses of a coin ? b. What is the probability of ipping 5 heads in 12 tosses of a coin ? e. What is the probability of ipping 7 tails in 10 tosses of a coin

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