1) Find the number of ways of arranging five letters from the work MATHEMATICS in a row. Each arrangment must not contain the letter M.
2) A debating team onsists of 5 students. These 5 students are chosen from 4 monitors, 2 assistant monirots and 6 perfects.
Calculate the number of different ways the tam can be form if
a) there is no restriction
b) the team contains only 1 monitor and exactly 3 perfects
3) Diagram below shows seven letter cards
U N I F O R M
A four letter code is to be formed using four of these cards. Find
a) the number of different four letter code than can be formed
b) the number of different four letter code which end with a consonant
4) A coach want to choose 5 players consisting of 2 boys and 3 girls to form a badminton team. These 5 players are chosen from a group of 4 boys and 5 girls
Find
a) the number of ways the team can be formed
b) the number of ways the team members can be arranged in a row gor a group photograph, if the three girls sits next to each other.
5) Digram below shows six numbered cards
3 5 6 7 8 9
A four digit number is to be formed by using four of these cards
How many
a) different numbers can be formed
b) differnt odd number can be formed.
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