How many distinct arrangements of the letters in the word ANSWERS are there? (Be

Question

How many distinct arrangements of the letters in the word ANSWERS are there? (Be careful-there are 2 S; s.) How many distinct arrangements of the letters in the word RESPONSES are there? A multiple-choice exam contains 10 questions with 4 choices each. In how many different, ways can the questions be answered? In how many ways can they be answered if it is known that exactly four of the answers are B? In how many ways can a class of 18 students be divided into 3 groups, one with 5 people, one with 6 and one with 7? In the daily number (3 digit) game, what is the probability that all three digits are

Explanation / Answer

ans=

A)How many different ways can the questions be answered?

4*4*4*4*4*4*4*4*4*4 = 410

B)How many ways can they answered if it is known that exactly four of the answers are B?

5*5*5*5*5*5*5*5*5*5 = 510

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