There are 8 different consonants and 6 different vowels. Number of different words of 7 letters which can be formed, if they are to contain 4 consonants and 3 vowels if the three vowels are to occupy even places is :

Question

There are 8 different consonants and 6 different vowels. Number of different words of 7 letters which can be formed, if they are to contain 4 consonants and 3 vowels if the three vowels are to occupy even places is : (A)  8 P 4 ⋅ 6 C 3 (B)  8 P 4 ⋅ 6 P 3 (C)  8 P 4 ⋅ 7 P 3 (D)  6 P 3 ⋅ 7 C 3 ⋅ 8 P 4

Tardigrade Admin · Accepted Answer

Correct answer is (b) 8 P 4 ⋅ 6 P 3

Q. There are 8 different consonants and 6 different vowels. Number of different words of 7 letters which can be formed, if they are to contain 4 consonants and 3 vowels if the three vowels are to occupy even places is :

$^{8} P_{4} \cdot^{6} C_{3}$

$^{8} P_{4} \cdot^{6} P_{3}$

$^{8} P_{4} \cdot^{7} P_{3}$

$^{6} P_{3} \cdot^{7} C_{3} \cdot^{8} P_{4}$

Correct answer is (b) $^{8} P_{4} \cdot^{6} P_{3}$

Q. There are 8 different consonants and 6 different vowels. Number of different words of 7 letters which can be formed, if they are to contain 4 consonants and 3 vowels if the three vowels are to occupy even places is :

8P4​⋅6C3​

8P4​⋅6P3​

8P4​⋅7P3​

6P3​⋅7C3​⋅8P4​

Correct answer is (b) 8P4​⋅6P3​

$^{8} P_{4} \cdot^{6} C_{3}$

$^{8} P_{4} \cdot^{6} P_{3}$

$^{8} P_{4} \cdot^{7} P_{3}$

$^{6} P_{3} \cdot^{7} C_{3} \cdot^{8} P_{4}$

Correct answer is (b) $^{8} P_{4} \cdot^{6} P_{3}$