exam Maths Puzzle Numerical Ability

THere are 10 pictures available to place on exhibit in a museum. How many arrangements (permutations) are possible if 7 pictures are selected at a time?

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exam Other Question

54. Science and medicine. A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? Please help.

Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.

x + 5y = 10
- 2x - 10y = - 20

Thanks
JMS