A company has its employees choose a password which consists of 9 characters: 3 letters, followed by 2 symbols, followed by 4 digits. There are a total of 11 symbols that the employees can choose from. Letters, symbols and digits can be repeated. How many possible passwords are there?

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that  She will select from 8 workshops about music and 8 about poetry.

Q: Walter is creating a 5 digit code for an electronic lock. He can use any number, but cannot use the…

A:

Q: John went to a pastry Shop in New York. He went to order 6 pastries and the store had 4 different…

A: Given: Types of pastries: E, F G and H.

Q: If Tim has 6 apples in each bag and he has 12 bags each, how many apples does he have all together?

A: Use unitary method.

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

A:

Q: Joey finds 13 video games that he would like to have. Three of them will run on his operating system…

A: Given: A total of 13 games are there. 10 will run on the operating system and 3 will not.

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: Given,no.of chemistry workshops=7no.of biology workshops=6

Q: You Have seven magazine with useful information in it. How many ways can you choose five articles to…

A: You Have seven magazine with useful information in it. How many ways can you choose five articles to…

Q: Jana has 10 blouses, 5 pairs of shoes, 5 skirts,and 5 hats. How many distinct 'outfits' does she…

A: No.of blouses=10 no.of pairs of shoes=5 no.of skirts=5 no.of hats=5

Q: In your closet, you have 15 tops, 10 bottoms, and 8 pairs of shoes. How many ways can you dress…

A: Given Tops = 15 Bottom = 10 Shoes = 8

Q: A boy owns 5 pairs of pants, 7 shirts, 3 ties, and 3 jackets. How many different outfits can he wear…

A: Given that  A boy owns  5 Pairs of pants 7 shirts 3 ties 3 jackets