Sum of Combinations

Tests
Test 1     Test 2     Test 3     Test 4     Test 5     Test 6     Test 7     Test 8     Test 9     Test 10

Sample
Sum of Combinations [Test 1]
 1) The room has 10 electric bulbs. How many ways the room can be lighted?
 2) A bag has 9 number of distinguishable marbles. How many ways you can select marbles, if each selection has atleast 3?
 3) A bag has 9 number of marbles. Out of these marbles 4 are alike and the rest are distinguishable. How many ways you can select marbles, if each selection has atleast 1?
 4) A bag has 4 number of marbles. Out of these marbles 2 are alike and the rest are distinguishable. How many ways you can select marbles, if each selection has atleast 1?
 5) A bag has 12 number of distinguishable marbles. How many ways you can select marbles, if each selection has atleast 2?
 6) If the room can be illuminated in 15 number of ways. How many light bulbs are there?
 7) A bag has 10 number of marbles. Out of these marbles 5 are alike and the rest are distinguishable. How many ways you can select marbles, if each selection has atleast 1?
 8) A bag has 8 number of distinguishable marbles. How many ways you can select marbles, if each selection has atleast 2?
 9) A bag has 7 number of distinguishable marbles. How many ways you can select marbles, if each selection has atleast 3?
 10) A bag has 4 number of distinguishable marbles. How many ways you can select marbles, if each selection has atleast 2?