(a) Exactly 5 are color-blind. (b) No more than 5 are color-blind. (c) At least 1 is color-blind.

Q: 6. Twenty mathematics textbooks must be stacked in a row on a shelf. There are 5 identical calculus…

A: This is question of permutation and combination.Here we have to use of both Further calculation is…

Q: How many ways are there to choose three cards from a standard 52-card deck without choosing any…

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Q: 5 Students are selected from a group of 13 students for prizes. How many different possible group…

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Q: A ship has a flag pole which has 3 different positions in which it can fly a flag. Assume the ship…

A: Sol:- If only one flag is flown at a time, then there are three possible positions for the flag, and…

Q: At the horse races (with ten horses competing), in how many ways can the top three places be…

A: Permutation: The number of different arrangements of ‘r’ elements from a set of‘n’ elements is…

Q: 1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a…

A: A combination is a selection of items from a group of items, where the order of selection is not…

Q: d) How many ways to invite 10 out of 20 friends to be part of a group chat?

A:

Q: Rebecca has a collection of basketball cards. When she puts them in piles of two, she has one card…

A: Given: When she puts the basketball cards in piles of 2 there is one card left. Similarly when she…

Q: The error in diameter of a sphere (in millimeters) follows the probability density function f(x) =…

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Q: At the horse races (with ten horses competing), in how many ways can the top three places be…

A: It is given that 10 horses (n) are running in a horse race and there are 3 places (r). Since, no…

Q: Suppose we want to choose 4 colors, without replacement, from 16 distinct colors. (a) How many ways…

A: Order matters ( Permutation )  Order doesn't matter ( Combination )   Total(N) = 16 colors  4 colors…

Q: In a standard deck of 52 playing cards, the cards are broken down into 4 suits of 13 cards each.…

A: Given that, In a standard deck of 52 playing cards, the cards are broken down into 4 suits of 13…

Q: Five cards are chosen at random from an ordinary deck to form a hand in poker. In how many ways is…

A: It is given that five cards are chosen at random from an ordinary deck to form a hand in poker.

Q: 1. Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such lineups…

A: Given: 1. Five cards are dealt off of a standard 52-card deck and lined up in a row. To find: (i)…

Q: Each telephone number in a city consists of 7 digits, the first of which must be 3 or 4. (a) How…

A: HERE TELEPHONE Diary consists of 7 digits, first is either 3 or 4.

Q: Suppose we want to choose 5 colors, without replacement, from 15 distinct colors. (a) How many ways…

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Q: In how many ways is it possible to elect a president, a vice-president, and a secretary (in that…

A: The total number of members in the club is: n=20 From the given club a president, a vice-president,,…

Q: Note that there are 5 cards in a hand. -Jim Hendrickson (1) How many different hands contain exactly…

A: a) Given that there are 5 cards on hand . Obtain the number of different hands contain exactly 4…

Q: Eight cards are marked with the numbers 1, 2, 3, 4, 5, 6, 7, and 8, then shuffled, and three cards…

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Q: 4. You have cards A-10 of all suits in a deck of cards. So, you have 40 cards. How many ways can you…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: 1. The school Reach team is attending an invitational tournament, but can only take the top five…

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Q: Suppose we want to choose 4 colors, without replacement, from 18 distinct colors. (a) How many…

A: :   1) number of ways to select 'x' persons from 'n' persons is  = (n!)/(x!(n - x)!) .  2) number of…

Q: 4. You are dealt 5 cards from a standard deck of 52 playing cards. In how many ways can you get…

A: In a pack of 52 cards there are 4 suits and each suit has 13 cards so there are 3 similar cards to a…

Q: 7. Suppose we have a deck of non-standard cards. There are 4 suits, just like normal cards. Fro each…

A: Given information: Total number of cards = 40

Q: 3. A president and vice-president are chosen from a group of 8 people. How many different…

A: topic - permutation and combination

Q: Suppose we want to choose 6 colors, without replacement, from 11 distinct colors.

A: Given that 6 colors are selected from 11 colors distinctly. a) If order of the selection is not…