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How many words of length 8 can you form where the first letter is same as the last letter?
How many words of length 10 can you form where no letter is repeated?
How many words of 10 letters can you form using the Italian alphabet? (there are 21 different letters in the Italian alphabet or which 5 are vowels.)
1. Relate reasoning to understanding by discussing the following statements:
1.1 Inductive reasoning contributes to relational understanding of mathematical concepts.
1.2 Deductive reasoning contributes to instrumental understanding of mathematical concepts.
1.3 Instrumental understanding complements relational understanding.
If n is a prime number, then n^2 has three positive factors.
A car number plate consists of a letter, followed by five numbers, and ended with three letters. How many car number plates can be formed? if required there must not be the same letter and no equal lift, and how many car number plates can be formed ?
I have 3 red, 2 green, and 5 silver plates. In how many ways can I stack these so that no red plate appears on top of a silver plate?
I have 3 red, 2 green, and 5 silver plates. In how many ways can I stack these so that no red plate appears on top of a silver plate.
On Sunday either go to the cinema or to the theatre, on each Monday, Tuesday and Wednesday you can study either maths, physics or chemistry, on each of Thursday, Friday and Saturday you can visit one of your 5 best friends (you must choose exactly one thing for each day).
In how many different ways can you plan your week?
In a baseball league of 8 teams, how many games are needed to complete the schedule if each team plays 8 games with each other?
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