(a) A committee is to be formed consisting of 5 members from 8 parents and 5 teachers. How many ways can the committee formed if the committee consists of at least 3 parents?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
(a) A committee is to be formed consisting of 5 members from 8 parents and 5 teachers. How many ways can the committee formed if the committee consists of at least 3 parents?
(b) A baker has only 10 cookies left in his shop. 3 of them are chocolate, 5 are peanut butter and 2 are blueberry. A customer wants to buy 6 cookies of all different flavors. Calculate the number of ways:
i. the customer can make his selection.
ii. his selection could contain no chocolate cookies.
iii. his selection could contain at least one cookies of each flavor.
(c) How many distinguishable permutations of the letters in the word “CORONA”?
(d) A bank has 6-digit account number with no repetition of digits within an account number.The first and last digits of the account numbers is fixed to be 4 and 7. How many such account numbers are possible?
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