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1.in how many ways can you choose two jelly beans from a bag of 15 jellybeans
solution:


2.in how many ways can you arrange five different textbooks on a shelf
solution:

3.how many different ways can the word MATHEMATICS be arranged such that:
A.the vowels always come together?
B.the vowels are not together?
solution:

4.A squash team is to contain 3 men and 2women,chosen from 15 men and 9 women.in how many ways can the team be chosen?
solution:

5.A basketball team has 15 players in which 9 are seasoned and 6 are juniors.in how many way can the first five be chosen if there are, at most,3 junior players?
solution:

6.if there are 7 distict points on a plane with no three of which are collinear,how many different polygons can be possibly formed?
solution:​


Sagot :

Answer:

1. 105

Solution:C, 2/5 = 15×4/2=105

2. 120

Solution: 5×4×3×2×1=120

3. 1. 967,689

2. 8,467,200

Solution: {There are 4 vowels and 7 letters aren't vowels}

4. 16,380

Solution: From the question information this is an unordered choice first at all, choose 2 from 9 women= C(9,2)

Then choose 3 from 15 Men=C(15,3)

N=(9,2) • (15,3)

=9×3/2×1 • 15×14×13/3×2×1 {Calculate carefully}

=16,380

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