8. How many 4-person committees are possible from a group of 10 people including Francis and Jojo if (a) there are no restrictions? (b) both Francis and Jojo must be in the committee? (c) either Francis or Jojo (but not both) must be in the committee?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![8. How many 4-person committees are possible from a group of 10 people including Francis and Jojo if (a) there are
no restrictions? (b) both Francis and Jojo must be in the committee? (c) either Francis or Jojo (but not both) must
be in the committee?
9. Awarehouse receives a shipment of 20 computers, of which five are defective. Eight computers are then randomly
selected and then delivered to a store. In how many ways can the store receive (a) no defective computer? (b)
three defective computers? (c) all five defective computers?
10. A 5-card hand is dealt from a standard 52-card deck. How many ways (a) such hands are possible? (b) contain both
a queen and a king? (c) contain 3 face cards and an 8? (d) contain only red cards?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4e4b8b5-79f9-4313-a702-e79618c87499%2F904f8943-5bc2-4393-9c85-8200855bc0c4%2Fu4hxkjn_processed.jpeg&w=3840&q=75)
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