Permutation Combination Set 1

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Permutation Combination Set 1

1). A committee of 5 members is going to be formed from 3 trainees, 4 professor and 6 research associates. How many ways can they be selected, if there are 4 professor and 1 research associate or 3trainees and 2 professor?
a) 12
b) 13
c) 24
d) 52
e) None of these

Answers to the quiz and More questions are attached in the Sehpaathi Test Application below

Sehpaathi Test Application: CHALLENGE YOURSELF

Test: Bnk_Quant_Permutation-Combination_Set1

2). In how many ways, a cricket team of 11 players can be made from 15 players, if a particular player is always chosen?
a) 1835
b) 1635
c) 1001
d) 1100
e) None of these

3). How many ways the word ‘EDUCATION’ can be arranged such that, the word start with a vowel and ends with a consonant?
a) 21×8!
b) 20 × 7!
c) 9×7!
d) 20 ×8!
e) None of these

Answers to the quiz and More questions are attached in the Sehpaathi Test Application below

Sehpaathi Test Application: CHALLENGE YOURSELF

Test: Bank_Quant_Permutation-Combination_Set1

4). How many ways the word ‘PREPARATION’ can be arranged, if vowels always come together?
a) (7! ×5!) / (2! × 4!)
b) (7! ×5!) / (2! × 2!)
c) (6! ×5!) / (2! × 2! ×2!)
d) (7! ×5!) / (2! × 2! ×2!)
e) None of these

5). Find the number of ways, in which 12 different flowers can be arranged to form a garland?
a) 11! / 2
b) 10! / 2
c) 12! / 2
d) Cannot be determined
e) None of these

Answer:

1)a         2)c         3)b       4)d          5)a