1. In a segment of 207.5 fm , Forever Radio, Dj Lam ang can play 5 love songs in a row. If there are 27 to select from, in how many ways can the program for this segment be arranged?
2. Oliveros family will eat at Mcdollibee Antipolo. In how many ways can Mr. Oliveros arrange his wife and 7 children in a round dining table if.
I. all of them can choose their own chair?
ii. Mr and Mrs Oliveros together with their youngest child will be sitting beside each other?
iii. 4 siblings refuse to sit beside each other?
3. Find the number of words, with or without meaning, that can be formed using the letters of the word BAYANIHAN. How many of these arrangements
I. starts with Y?
ii. all the vowel always occur together?
iii. the vowels never occur together?
Answer:
1. 25
2. i. yes, there are enough
ii. yes, because they have 7 children
ii. No.
3. i. 8! = 8×7×6×5×4×3×2×1 40320.
ii. 4! = 4×3×2×1 24.
iii. 5! = 5×4×3×2×1 120.
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