# STT211 Tma Solutions

STT211

Question: All the five questions in an examination must be answered by a student. If it is believed that the order in \nwhich the questions are answered has impacts on the performance of the student. In how many different \norders can the questions be answered

Answer: 120

Question: How many distinct permutations are there of the letters of the word MARRIAGE?

Answer: 10080

Question: In how many ways can 4 married couples attending a concert be seated in a row of eight seats if each couple must be seated together?

Answer: 384

Question: The letters V, W, X, Y and Z are selected at random to form a five letters word without repetition. \nHow many ways can a word be formed such that X and Y follow each?

Answer: 24

Question: How many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5 if the first digit must \nnot be 0 and repetition of digits is not allowed?

Answer: 300

Question: Find the number of distinguishable permutations that can be formed from the letters of the word \

Answer: 50400

Question: The letters V, W, X, Y and Z are selected at random to form a five letters word without repetition. \nHow many ways can a word be formed such that X, Y and Z follow one another?

Answer: 36

Question: How many 4-letter words can be formed from the letters A, B, C, D, E, F if the first letter must \nnot be a vowel and repetition of letters is not allowed?

Answer: 240

Question: A committee of 4 women and 2 men is to be selected from 10 women and 5 men. If two of the women \nare feuding and cannot serve on the committee together, in how many ways can the committee be selected?

Answer: 1820

Question: In how many ways can 4 married couples attending a concert be seated in a row of eight seats if members of same gender must be seated together?

Answer: 1152

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