P & C Day 2

How many ways can you arrange the letters of the word "PINEAPPLE" in a row, in such a way that all the vowels are together?

• 1440

• 2160

• 2880

• 3600

In how many ways can 5 different colored candles be placed on a round table?

• 24

• 120

• 60

• 48

In how many ways can 3 managers and 3 employees be seated at a round table such that no two managers sit together?

• 72

• 24

• 36

• 12

There are 5 authors, the main author, and the co-author who need to be seated around a circular table. If the main author should sit between an author and the co-author, in how many ways can they be seated?

• 5! x 2

• 6! × 2

• 7! × 2

• 8! × 2

How many ways can 4 different colors, chosen from 7 different colors, be placed on a circular flag?

• 210

• 420

• 630

• 840

A four-digit number is formed using the digits 2, 4, 6,  and 8 without repeating any of them. What is the sum of all such possible numbers?

• 133320

• 175000

• 182500

• 190000

Out of 5 vowels and 7 consonants , how many words can be formed by selecting  2 vowels and  2 consonants?

• 3000

• 3600

• 4200

• 5040