a. i. Find how many numbers there are between 100 and 999 in which all three digits

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a. i. Find how many numbers there are between 100 and 999 in which all three digits are different.

ii. Find how many of the numbers in part i are odd numbers greater than 700.

b. A bunch of flowers consists of a mixture of roses, tulips and daffodils. Tom orders a bunch of 7 flowers from a shop to give to a friend. There must be at least 2 of each type of flower.

The shop has 6 roses, 5 tulips and 4 daffodils, all different from each other. Find the number of different bunches of flowers that are possible.

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