There are 16 teams in each conference in professional football, and 6 make the playoffs each year. In how many different ways can that happen? (The teams are seeded from 1 to 6.)

Q: Iow many different 5 card hands can be dealt from a deck of 52 cards? our answer is :

A: In the given question, concept of Combination is applied. Combination A combination is a…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: In a poker game, a player is dealt a 9 card "hand" from a deck of 52 distinct cards. How many…

A: Total number of distinct cards are 52 Number of cards to be chosen are 9 Given the cards are…

Q: A particular brand of shirt comes in 8 colors, has a version with a pocket and one without, and…

A: The shirts can be any of the 8 colors.

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

Q: A student has 7 books on his deck. In how many different ways can he select a set of 3?

A: student has 7 books on his deck. No. of different ways to select set of 3 = ?

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys  r!=r(r-1)(r-2)x...x3x2x1

Q: Ten people split up into five groups of two each.  In how many ways can this be done?

A: The number of combinations of r items from a group of n items where the order is not important is…

Q: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

A:

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…

A: The objective of this question is to find out the number of ways in which 33 guests can arrange…

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: Standard automobile license plates in a state display 3 digits (from 0-9), followed by 4 letters…

A: In the question it is asked to calculate the number of plates possible when the plate consists of 3…