Question

A carpenter has 3 identical hammers, 5 different screwdrivers, 2 identical mallets, 2 different saws and a tape-measure. She wishes to hang the tools in a row on a tool rack on the wall. In how many ways can this be done if the first and last positions on the rack are to be mallets and the hammers are not to be all together?

Answer 1

hammers : 3 same

screwdrivers : 5 diff

mallets : 2 same

saws : 2 diff

tape : 1

Answer 2

total 13 slots

Answer 3

ok