Activity 6.Answer the following problems:1) A dance instructor asks each student to do 4 out of the 10dance routines. Of the 10 dance routines, 2 are easy, 5 aremoderately difficult and 3 are difficult. In how many ways can astudent select each of the following for the 4 dance routines?a. 4 moderately difficult routinesb. 2 moderately difficult and 2 difficult routinesc. 1 easy and 3 difficult routines2) From a deck of 52 playing cards, 5 cards are to be drawn.How many sets of 5 cards are possible if:a. there is no restriction?b. there are 2 aces and 3 jacks?c. all cards are black?d. all cards are diamonds?e. there are 3 face-cards, 1 king, and 1 spade?

We have given that 10 dance routine. In 10 dance routine, 2 are easy, 5 are moderately difficult and…

Answered: Answer the following problems: 1) A…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
Three softball teams ordered equipment from the same catalog. The first team spent$285 on 5 shirts, 4 caps, and 8 bats. The second team spent $210 on 12 shirts and6 caps. The third team spent $250 for 7 shirts, 10 caps, and 3 bats. What were thecatalog prices for shirts, caps, and bats?
A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do it? a.24 b. 12 c. 6 d. 42
At the grocery store, Diego has narrowed down his selections to 4 vegetables, 8 fruits, 6 cheeses, and 4 whole grain breads. He wants to use the Express Lane, so he can only buy 15 items. In how many ways can he choose which 15 items to buy if he wants all 6 cheeses?
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Assume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select two meats out of 5 options, 1 cheese out of 3 options, and exactly 3 or exactly 5 vegetables out of the 7 options. She will also decide whether to add mayo or not. How many ways can she make her sandwich.
Jennifer took clothes to the cleaners three times last month. First, she brought 3 shirts and 1 pair of slacks and paid $12.46 Then she brought 6 shirts, 3 pairs of slacks, and 1 sports coat and paid $37 90. Finally, she brought 5 shirts and 2 sports coats and paid $28.43. How much was she charged for each shirt, each pair of slacks, and each sports coat? .. Jennifer was charged $ for each shirt, $ for each pair of slacks, and $ for each sports coat Clear all Check answer View an example Get more help - Help me solve this 6:09 PM 3/7/2022 hp end delete ins prt sc 18 num backspace lock & 4 home U E enter HJK 00 %24 %23

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