Question: a) Consider the word TEMPERATURE. In how many ways can all the letters be arranged if the word must start and end with the same

a) Consider the word "TEMPERATURE". In how many ways can all the letters be arranged if the word must start and end with the same letter?

b) Mr. Brown has 25 grade ten students. He wants to divide the class into 6 groups of at least 3 students and at most 5 students. How many ways is this possible? Do not Evaluate

c) How many 6 digit numbers less than 500000 are there that are not divisible by 2 and not divisible by 5 (Repetition is allowed)?

d) There are 6 landscapes, 5 portraits, and 7 still-life paintings available for an art display. Two of each type of painting are selected. The paintings are each hung in one of six locations in the gallery. In how many ways could the art be displayed?

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