I asked for assistance on these problems and got incorrect answers. Please help me find the right an

I asked for assistance on these problems and got incorrect answers. Please help me find the right answers.

1. In how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of exactly 3 dogs and 4 cats?

The answer is not 35.

2. A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles, 12 owned both dogs and cats, 7 owned both dogs and turtles, 3 owned both cats and turtles, and 2 owned all three. Find the number of pet owners who owned none of the three lovely animals.

The answer is not 26.

3. Suppose one can move only down or to the right. How many of the routes from A to B pass through C?

There are 5 rows and 7 columns. A is in the upper left corner and B is in the lower right corner. C is located 3 columns over and two rows down starting at A.

A[][][][][][][]

[][][C][][][][]

[][][ ][][][][]

[][][ ][][][][]

[][][][][][][]B

I said 5^7 = 78,125 but this was incorrect. Please help

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